How to Find GCF of 626/520, 7658/5824?

GCF of 626/520, 7658/5824

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 626/520, 7658/5824 i.e 2/29120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 626/520, 7658/5824.

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 626/520,7658/5824?

Given fractions are 626/520,7658/5824

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 626/520,7658/5824, numerators are 626,7658

Denominators are 520,5824

The GCF of 626,7658 is 2 .

LCM of 520,5824 is 29120.

The greatest common factor of 626/520,7658/5824 = [GCF of 626,7658]/[LCM of 520,5824]= 2/29120

Therefore, the GCF of 626/520,7658/5824 is 2/29120.

Greatest Common Factor of 626,7658

To find the highest common factor of 626,7658, we have to find the factors of both numbers and list the highest common factor.

The factors of 626 are 1, 2, 313, 626

The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658

The HCF of 626,7658 is 2.

Lets's calculate GCF of 626,7658

Greatest Common Factor (GCF) of 626,7658 By Common Division

2	626, 7658
	313, 3829

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

Greatest Common Factor of 626,7658 By Matching Biggest Common Factor Method

Now, list down the factors of 626

1,2,313,626

Now, list down the factors of 7658

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 626,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 626,7658 is 2.

Lets's calculate LCM of 520,5824

Lowest Common Multiple of 520,5824 using Common Division

2	520, 5824
2	260, 2912
2	130, 1456
13	65, 728
	5, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 13 x 5 x 56 = 29120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29120

Therefore, the GCF of Fractions 626/520,7658/5824 is 2/29120

Least Common Multiple of 520,5824 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 520,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5824) = 104

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

GCF(520,5824) x common factors =104 x 1 = 104

LCM(520,5824) = ( 520 × 5824 ) / 104

LCM(520,5824) = 3028480 / 104

LCM(520,5824) = 29120

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FAQs on GCF of Fractions of 626/520, 7658/5824

1. What is the HCF of 626,7658?

The HCF of 626,7658 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 626/520, 7658/5824?

Answer: GCF of Numerators as per given numbers 626/520, 7658/5824 is

GCF of Numerators i.e. for 626,7658 is 2

LCM of denominators i.e. for 520,5824 is 29120.

Thus, GCF of Fractions is 2/29120.Finally, GCF of Fractions for 626/520, 7658/5824 is 2/29120.