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GCF of 263/127, 371/674

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 263/127, 371/674 i.e 1/85598 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/127, 371/674.

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 263/127,371/674?

Given fractions are 263/127,371/674

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 263/127,371/674, numerators are 263,371

Denominators are 127,674

The GCF of 263,371 is 1 .

LCM of 127,674 is 85598.

The greatest common factor of 263/127,371/674 = [GCF of 263,371]/[LCM of 127,674]= 1/85598

Therefore, the GCF of 263/127,371/674 is 1/85598.

Greatest Common Factor of 263,371

To find the highest common factor of 263,371, we have to find the factors of both numbers and list the highest common factor.

The factors of 263 are 1, 263

The factors of 371 are 1, 7, 53, 371

The HCF of 263,371 is 1.

Lets's calculate GCF of 263,371

Greatest Common Factor (GCF) of 263,371 By Common Division

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

Greatest Common Factor of 263,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,371 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 371

:

1,7,53,371

Greatest Common Factor

We found the factors 263,371 . The biggest common factor number is the GCF number.
So the greatest common factor 263,371 is 1.

Lets's calculate LCM of 127,674

Lowest Common Multiple of 127,674 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85598

Therefore, the GCF of Fractions 263/127,371/674 is 1/85598

Least Common Multiple of 127,674 with GCF Formula

Least Common Multiple of 127,674 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 127,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,674) = 1

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

GCF(127,674) x common factors =1 x 1 = 1

LCM(127,674) = ( 127 × 674 ) / 1

LCM(127,674) = 85598 / 1

LCM(127,674) = 85598


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FAQs on GCF of Fractions of 263/127, 371/674

1. What is the HCF of 263,371?

The HCF of 263,371 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 263/127, 371/674?

Answer: GCF of Numerators as per given numbers 263/127, 371/674 is

GCF of Numerators i.e. for 263,371 is 1

LCM of denominators i.e. for 127,674 is 85598.

Thus, GCF of Fractions is 1/85598.Finally, GCF of Fractions for 263/127, 371/674 is 1/85598.