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GCF of 3236/970, 8712/7621

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Use our free GCF of Fractions Calculator tool to compute the GCF of 3236/970, 8712/7621 i.e 4/7392370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3236/970, 8712/7621.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3236/970,8712/7621?

Given fractions are 3236/970,8712/7621

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3236/970,8712/7621, numerators are 3236,8712

Denominators are 970,7621

The GCF of 3236,8712 is 4 .

LCM of 970,7621 is 7392370.

The greatest common factor of 3236/970,8712/7621 = [GCF of 3236,8712]/[LCM of 970,7621]= 4/7392370

Therefore, the GCF of 3236/970,8712/7621 is 4/7392370.

Greatest Common Factor of 3236,8712

To find the highest common factor of 3236,8712, we have to find the factors of both numbers and list the highest common factor.

The factors of 3236 are 1, 2, 4, 809, 1618, 3236

The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712

The HCF of 3236,8712 is 4.

Lets's calculate GCF of 3236,8712

Greatest Common Factor (GCF) of 3236,8712 By Common Division

2 3236, 8712
2 1618, 4356
809, 2178

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3236,8712 By Matching Biggest Common Factor Method

Greatest Common Factor of 3236,8712 By Matching Biggest Common Factor Method

Now, list down the factors of 3236

:

1,2,4,809,1618,3236

Now, list down the factors of 8712

:

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712

Greatest Common Factor

We found the factors 3236,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 3236,8712 is 4.


Lets's calculate LCM of 970,7621

Lowest Common Multiple of 970,7621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7392370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7392370

Therefore, the GCF of Fractions 3236/970,8712/7621 is 4/7392370

Least Common Multiple of 970,7621 with GCF Formula

Least Common Multiple of 970,7621 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 970,7621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,7621) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(970,7621) x common factors =1 x 1 = 1

LCM(970,7621) = ( 970 × 7621 ) / 1

LCM(970,7621) = 7392370 / 1

LCM(970,7621) = 7392370


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3236/970, 8712/7621

1. What is the HCF of 3236,8712?

The HCF of 3236,8712 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 3236/970, 8712/7621?

Answer: GCF of Numerators as per given numbers 3236/970, 8712/7621 is

GCF of Numerators i.e. for 3236,8712 is 4

LCM of denominators i.e. for 970,7621 is 7392370.

Thus, GCF of Fractions is 4/7392370.Finally, GCF of Fractions for 3236/970, 8712/7621 is 4/7392370.