How to Find GCF of 7136/860, 2132/639?

GCF of 7136/860, 2132/639

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 7136/860, 2132/639 i.e 4/549540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7136/860, 2132/639.

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 7136/860,2132/639?

Given fractions are 7136/860,2132/639

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 7136/860,2132/639, numerators are 7136,2132

Denominators are 860,639

The GCF of 7136,2132 is 4 .

LCM of 860,639 is 549540.

The greatest common factor of 7136/860,2132/639 = [GCF of 7136,2132]/[LCM of 860,639]= 4/549540

Therefore, the GCF of 7136/860,2132/639 is 4/549540.

Greatest Common Factor of 7136,2132

To find the highest common factor of 7136,2132, we have to find the factors of both numbers and list the highest common factor.

The factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136

The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132

The HCF of 7136,2132 is 4.

Lets's calculate GCF of 7136,2132

Greatest Common Factor (GCF) of 7136,2132 By Common Division

2	7136, 2132
2	3568, 1066
	1784, 533

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

Greatest Common Factor of 7136,2132 By Matching Biggest Common Factor Method

Now, list down the factors of 7136

1,2,4,8,16,32,223,446,892,1784,3568,7136

Now, list down the factors of 2132

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 7136,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 7136,2132 is 4.

Lets's calculate LCM of 860,639

Lowest Common Multiple of 860,639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 549540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/549540

Therefore, the GCF of Fractions 7136/860,2132/639 is 4/549540

Least Common Multiple of 860,639 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 860,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(860,639) = 1

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

GCF(860,639) x common factors =1 x 1 = 1

LCM(860,639) = ( 860 × 639 ) / 1

LCM(860,639) = 549540 / 1

LCM(860,639) = 549540

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FAQs on GCF of Fractions of 7136/860, 2132/639

1. What is the HCF of 7136,2132?

The HCF of 7136,2132 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 7136/860, 2132/639?

Answer: GCF of Numerators as per given numbers 7136/860, 2132/639 is

GCF of Numerators i.e. for 7136,2132 is 4

LCM of denominators i.e. for 860,639 is 549540.

Thus, GCF of Fractions is 4/549540.Finally, GCF of Fractions for 7136/860, 2132/639 is 4/549540.