How to Find GCF of 5126/536, 5650/7236?

GCF of 5126/536, 5650/7236

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 5126/536, 5650/7236 i.e 2/14472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5126/536, 5650/7236.

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 5126/536,5650/7236?

Given fractions are 5126/536,5650/7236

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 5126/536,5650/7236, numerators are 5126,5650

Denominators are 536,7236

The GCF of 5126,5650 is 2 .

LCM of 536,7236 is 14472.

The greatest common factor of 5126/536,5650/7236 = [GCF of 5126,5650]/[LCM of 536,7236]= 2/14472

Therefore, the GCF of 5126/536,5650/7236 is 2/14472.

Greatest Common Factor of 5126,5650

To find the highest common factor of 5126,5650, we have to find the factors of both numbers and list the highest common factor.

The factors of 5126 are 1, 2, 11, 22, 233, 466, 2563, 5126

The factors of 5650 are 1, 2, 5, 10, 25, 50, 113, 226, 565, 1130, 2825, 5650

The HCF of 5126,5650 is 2.

Lets's calculate GCF of 5126,5650

Greatest Common Factor (GCF) of 5126,5650 By Common Division

2	5126, 5650
	2563, 2825

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

Greatest Common Factor of 5126,5650 By Matching Biggest Common Factor Method

Now, list down the factors of 5126

1,2,11,22,233,466,2563,5126

Now, list down the factors of 5650

1,2,5,10,25,50,113,226,565,1130,2825,5650

Greatest Common Factor

We found the factors 5126,5650 . The biggest common factor number is the GCF number.
So the greatest common factor 5126,5650 is 2.

Lets's calculate LCM of 536,7236

Lowest Common Multiple of 536,7236 using Common Division

2	536, 7236
2	268, 3618
67	134, 1809
	2, 27

∴ So the LCM of the given numbers is 2 x 2 x 67 x 2 x 27 = 14472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14472

Therefore, the GCF of Fractions 5126/536,5650/7236 is 2/14472

Least Common Multiple of 536,7236 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 536,7236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(536,7236) = 268

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

GCF(536,7236) x common factors =268 x 1 = 268

LCM(536,7236) = ( 536 × 7236 ) / 268

LCM(536,7236) = 3878496 / 268

LCM(536,7236) = 14472

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FAQs on GCF of Fractions of 5126/536, 5650/7236

1. What is the HCF of 5126,5650?

The HCF of 5126,5650 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 5126/536, 5650/7236?

Answer: GCF of Numerators as per given numbers 5126/536, 5650/7236 is

GCF of Numerators i.e. for 5126,5650 is 2

LCM of denominators i.e. for 536,7236 is 14472.

Thus, GCF of Fractions is 2/14472.Finally, GCF of Fractions for 5126/536, 5650/7236 is 2/14472.