How to Find GCF of 536/428, 7882/5073?

GCF of 536/428, 7882/5073

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 536/428, 7882/5073 i.e 2/2171244 easily. The following is the detailed procedure to determine the greatest common factor of fractions 536/428, 7882/5073.

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 536/428,7882/5073?

Given fractions are 536/428,7882/5073

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 536/428,7882/5073, numerators are 536,7882

Denominators are 428,5073

The GCF of 536,7882 is 2 .

LCM of 428,5073 is 2171244.

The greatest common factor of 536/428,7882/5073 = [GCF of 536,7882]/[LCM of 428,5073]= 2/2171244

Therefore, the GCF of 536/428,7882/5073 is 2/2171244.

Greatest Common Factor of 536,7882

To find the highest common factor of 536,7882, we have to find the factors of both numbers and list the highest common factor.

The factors of 536 are 1, 2, 4, 8, 67, 134, 268, 536

The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882

The HCF of 536,7882 is 2.

Lets's calculate GCF of 536,7882

Greatest Common Factor (GCF) of 536,7882 By Common Division

2	536, 7882
	268, 3941

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

Greatest Common Factor of 536,7882 By Matching Biggest Common Factor Method

Now, list down the factors of 536

1,2,4,8,67,134,268,536

Now, list down the factors of 7882

1,2,7,14,563,1126,3941,7882

Greatest Common Factor

We found the factors 536,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 536,7882 is 2.

Lets's calculate LCM of 428,5073

Lowest Common Multiple of 428,5073 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2171244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2171244

Therefore, the GCF of Fractions 536/428,7882/5073 is 2/2171244

Least Common Multiple of 428,5073 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 428,5073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,5073) = 1

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

GCF(428,5073) x common factors =1 x 1 = 1

LCM(428,5073) = ( 428 × 5073 ) / 1

LCM(428,5073) = 2171244 / 1

LCM(428,5073) = 2171244

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FAQs on GCF of Fractions of 536/428, 7882/5073

1. What is the HCF of 536,7882?

The HCF of 536,7882 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 536/428, 7882/5073?

Answer: GCF of Numerators as per given numbers 536/428, 7882/5073 is

GCF of Numerators i.e. for 536,7882 is 2

LCM of denominators i.e. for 428,5073 is 2171244.

Thus, GCF of Fractions is 2/2171244.Finally, GCF of Fractions for 536/428, 7882/5073 is 2/2171244.