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GCF of 812/59, 970/669

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 812/59, 970/669 i.e 2/39471 easily. The following is the detailed procedure to determine the greatest common factor of fractions 812/59, 970/669.

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 812/59,970/669?

Given fractions are 812/59,970/669

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 812/59,970/669, numerators are 812,970

Denominators are 59,669

The GCF of 812,970 is 2 .

LCM of 59,669 is 39471.

The greatest common factor of 812/59,970/669 = [GCF of 812,970]/[LCM of 59,669]= 2/39471

Therefore, the GCF of 812/59,970/669 is 2/39471.

Greatest Common Factor of 812,970

To find the highest common factor of 812,970, we have to find the factors of both numbers and list the highest common factor.

The factors of 812 are 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970

The HCF of 812,970 is 2.

Lets's calculate GCF of 812,970

Greatest Common Factor (GCF) of 812,970 By Common Division

2 812, 970
406, 485

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

Greatest Common Factor of 812,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 812,970 By Matching Biggest Common Factor Method

Now, list down the factors of 812

:

1,2,4,7,14,28,29,58,116,203,406,812

Now, list down the factors of 970

:

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 812,970 . The biggest common factor number is the GCF number.
So the greatest common factor 812,970 is 2.

Lets's calculate LCM of 59,669

Lowest Common Multiple of 59,669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 39471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39471

Therefore, the GCF of Fractions 812/59,970/669 is 2/39471

Least Common Multiple of 59,669 with GCF Formula

Least Common Multiple of 59,669 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 59,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,669) = 1

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

GCF(59,669) x common factors =1 x 1 = 1

LCM(59,669) = ( 59 × 669 ) / 1

LCM(59,669) = 39471 / 1

LCM(59,669) = 39471


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FAQs on GCF of Fractions of 812/59, 970/669

1. What is the HCF of 812,970?

The HCF of 812,970 is 2

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 812/59, 970/669?

Answer: GCF of Numerators as per given numbers 812/59, 970/669 is

GCF of Numerators i.e. for 812,970 is 2

LCM of denominators i.e. for 59,669 is 39471.

Thus, GCF of Fractions is 2/39471.Finally, GCF of Fractions for 812/59, 970/669 is 2/39471.