How to Find GCF of 4292/520, 7076/3291?

GCF of 4292/520, 7076/3291

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 4292/520, 7076/3291 i.e 116/1711320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4292/520, 7076/3291.

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 4292/520,7076/3291?

Given fractions are 4292/520,7076/3291

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 4292/520,7076/3291, numerators are 4292,7076

Denominators are 520,3291

The GCF of 4292,7076 is 116 .

LCM of 520,3291 is 1711320.

The greatest common factor of 4292/520,7076/3291 = [GCF of 4292,7076]/[LCM of 520,3291]= 116/1711320

Therefore, the GCF of 4292/520,7076/3291 is 116/1711320.

Greatest Common Factor of 4292,7076

To find the highest common factor of 4292,7076, we have to find the factors of both numbers and list the highest common factor.

The factors of 4292 are 1, 2, 4, 29, 37, 58, 74, 116, 148, 1073, 2146, 4292

The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076

The HCF of 4292,7076 is 116.

Lets's calculate GCF of 4292,7076

Greatest Common Factor (GCF) of 4292,7076 By Common Division

2	4292, 7076
2	2146, 3538
29	1073, 1769
	37, 61

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

Greatest Common Factor of 4292,7076 By Matching Biggest Common Factor Method

Now, list down the factors of 4292

1,2,4,29,37,58,74,116,148,1073,2146,4292

Now, list down the factors of 7076

1,2,4,29,58,61,116,122,244,1769,3538,7076

Greatest Common Factor

We found the factors 4292,7076 . The biggest common factor number is the GCF number.
So the greatest common factor 4292,7076 is 116.

Lets's calculate LCM of 520,3291

Lowest Common Multiple of 520,3291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1711320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 116/1711320

Therefore, the GCF of Fractions 4292/520,7076/3291 is 116/1711320

Least Common Multiple of 520,3291 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 520,3291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,3291) = 1

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

GCF(520,3291) x common factors =1 x 1 = 1

LCM(520,3291) = ( 520 × 3291 ) / 1

LCM(520,3291) = 1711320 / 1

LCM(520,3291) = 1711320

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FAQs on GCF of Fractions of 4292/520, 7076/3291

1. What is the HCF of 4292,7076?

The HCF of 4292,7076 is 116

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 4292/520, 7076/3291?

Answer: GCF of Numerators as per given numbers 4292/520, 7076/3291 is

GCF of Numerators i.e. for 4292,7076 is 116

LCM of denominators i.e. for 520,3291 is 1711320.

Thus, GCF of Fractions is 116/1711320.Finally, GCF of Fractions for 4292/520, 7076/3291 is 116/1711320.