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GCF of 1139/413, 1031/8962

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 1139/413, 1031/8962 i.e 1/3701306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1139/413, 1031/8962.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1139/413,1031/8962?

Given fractions are 1139/413,1031/8962

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 1139/413,1031/8962, numerators are 1139,1031

Denominators are 413,8962

The GCF of 1139,1031 is 1 .

LCM of 413,8962 is 3701306.

The greatest common factor of 1139/413,1031/8962 = [GCF of 1139,1031]/[LCM of 413,8962]= 1/3701306

Therefore, the GCF of 1139/413,1031/8962 is 1/3701306.

Greatest Common Factor of 1139,1031

To find the highest common factor of 1139,1031, we have to find the factors of both numbers and list the highest common factor.

The factors of 1139 are 1, 17, 67, 1139

The factors of 1031 are 1, 1031

The HCF of 1139,1031 is 1.

Lets's calculate GCF of 1139,1031

Greatest Common Factor (GCF) of 1139,1031 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1139,1031 By Matching Biggest Common Factor Method

Greatest Common Factor of 1139,1031 By Matching Biggest Common Factor Method

Now, list down the factors of 1139

:

1,17,67,1139

Now, list down the factors of 1031

:

1,1031

Greatest Common Factor

We found the factors 1139,1031 . The biggest common factor number is the GCF number.
So the greatest common factor 1139,1031 is 1.

Lets's calculate LCM of 413,8962

Lowest Common Multiple of 413,8962 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3701306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3701306

Therefore, the GCF of Fractions 1139/413,1031/8962 is 1/3701306

Least Common Multiple of 413,8962 with GCF Formula

Least Common Multiple of 413,8962 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 413,8962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,8962) = 1

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

GCF(413,8962) x common factors =1 x 1 = 1

LCM(413,8962) = ( 413 × 8962 ) / 1

LCM(413,8962) = 3701306 / 1

LCM(413,8962) = 3701306


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FAQs on GCF of Fractions of 1139/413, 1031/8962

1. What is the HCF of 1139,1031?

The HCF of 1139,1031 is 1

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 1139/413, 1031/8962?

Answer: GCF of Numerators as per given numbers 1139/413, 1031/8962 is

GCF of Numerators i.e. for 1139,1031 is 1

LCM of denominators i.e. for 413,8962 is 3701306.

Thus, GCF of Fractions is 1/3701306.Finally, GCF of Fractions for 1139/413, 1031/8962 is 1/3701306.