How to Find GCF of 4276/488, 3427/7360?

GCF of 4276/488, 3427/7360

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 4276/488, 3427/7360 i.e 1/448960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4276/488, 3427/7360.

Enter two or more fractions separated by "commas"

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

What is the GCF of 4276/488,3427/7360?

Given fractions are 4276/488,3427/7360

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 4276/488,3427/7360, numerators are 4276,3427

Denominators are 488,7360

The GCF of 4276,3427 is 1 .

LCM of 488,7360 is 448960.

The greatest common factor of 4276/488,3427/7360 = [GCF of 4276,3427]/[LCM of 488,7360]= 1/448960

Therefore, the GCF of 4276/488,3427/7360 is 1/448960.

Greatest Common Factor of 4276,3427

To find the highest common factor of 4276,3427, we have to find the factors of both numbers and list the highest common factor.

The factors of 4276 are 1, 2, 4, 1069, 2138, 4276

The factors of 3427 are 1, 23, 149, 3427

The HCF of 4276,3427 is 1.

Lets's calculate GCF of 4276,3427

Greatest Common Factor (GCF) of 4276,3427 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4276,3427 By Matching Biggest Common Factor Method

Now, list down the factors of 4276

1,2,4,1069,2138,4276

Now, list down the factors of 3427

1,23,149,3427

Greatest Common Factor

We found the factors 4276,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 4276,3427 is 1.

Lets's calculate LCM of 488,7360

Lowest Common Multiple of 488,7360 using Common Division

2	488, 7360
2	244, 3680
2	122, 1840
	61, 920

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 920 = 448960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/448960

Therefore, the GCF of Fractions 4276/488,3427/7360 is 1/448960

Least Common Multiple of 488,7360 with GCF Formula

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

We need to calculate greatest common factor of 488,7360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,7360) = 8

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

GCF(488,7360) x common factors =8 x 1 = 8

LCM(488,7360) = ( 488 × 7360 ) / 8

LCM(488,7360) = 3591680 / 8

LCM(488,7360) = 448960

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FAQs on GCF of Fractions of 4276/488, 3427/7360

1. What is the HCF of 4276,3427?

The HCF of 4276,3427 is 1

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 4276/488, 3427/7360?

Answer: GCF of Numerators as per given numbers 4276/488, 3427/7360 is

GCF of Numerators i.e. for 4276,3427 is 1

LCM of denominators i.e. for 488,7360 is 448960.

Thus, GCF of Fractions is 1/448960.Finally, GCF of Fractions for 4276/488, 3427/7360 is 1/448960.