How to Find GCF of 4262/251, 1024/1159?

GCF of 4262/251, 1024/1159

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 4262/251, 1024/1159 i.e 2/290909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4262/251, 1024/1159.

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 4262/251,1024/1159?

Given fractions are 4262/251,1024/1159

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 4262/251,1024/1159, numerators are 4262,1024

Denominators are 251,1159

The GCF of 4262,1024 is 2 .

LCM of 251,1159 is 290909.

The greatest common factor of 4262/251,1024/1159 = [GCF of 4262,1024]/[LCM of 251,1159]= 2/290909

Therefore, the GCF of 4262/251,1024/1159 is 2/290909.

Greatest Common Factor of 4262,1024

To find the highest common factor of 4262,1024, we have to find the factors of both numbers and list the highest common factor.

The factors of 4262 are 1, 2, 2131, 4262

The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024

The HCF of 4262,1024 is 2.

Lets's calculate GCF of 4262,1024

Greatest Common Factor (GCF) of 4262,1024 By Common Division

2	4262, 1024
	2131, 512

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

Greatest Common Factor of 4262,1024 By Matching Biggest Common Factor Method

Now, list down the factors of 4262

1,2,2131,4262

Now, list down the factors of 1024

1,2,4,8,16,32,64,128,256,512,1024

Greatest Common Factor

We found the factors 4262,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 4262,1024 is 2.

Lets's calculate LCM of 251,1159

Lowest Common Multiple of 251,1159 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 290909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290909

Therefore, the GCF of Fractions 4262/251,1024/1159 is 2/290909

Least Common Multiple of 251,1159 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 251,1159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(251,1159) = 1

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

GCF(251,1159) x common factors =1 x 1 = 1

LCM(251,1159) = ( 251 × 1159 ) / 1

LCM(251,1159) = 290909 / 1

LCM(251,1159) = 290909

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FAQs on GCF of Fractions of 4262/251, 1024/1159

1. What is the HCF of 4262,1024?

The HCF of 4262,1024 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 4262/251, 1024/1159?

Answer: GCF of Numerators as per given numbers 4262/251, 1024/1159 is

GCF of Numerators i.e. for 4262,1024 is 2

LCM of denominators i.e. for 251,1159 is 290909.

Thus, GCF of Fractions is 2/290909.Finally, GCF of Fractions for 4262/251, 1024/1159 is 2/290909.