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GCF of 967/26, 607/293

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 967/26, 607/293 i.e 1/7618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/26, 607/293.

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 967/26,607/293?

Given fractions are 967/26,607/293

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 967/26,607/293, numerators are 967,607

Denominators are 26,293

The GCF of 967,607 is 1 .

LCM of 26,293 is 7618.

The greatest common factor of 967/26,607/293 = [GCF of 967,607]/[LCM of 26,293]= 1/7618

Therefore, the GCF of 967/26,607/293 is 1/7618.

Greatest Common Factor of 967,607

To find the highest common factor of 967,607, we have to find the factors of both numbers and list the highest common factor.

The factors of 967 are 1, 967

The factors of 607 are 1, 607

The HCF of 967,607 is 1.

Lets's calculate GCF of 967,607

Greatest Common Factor (GCF) of 967,607 By Common Division

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

Greatest Common Factor of 967,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,607 By Matching Biggest Common Factor Method

Now, list down the factors of 967

:

1,967

Now, list down the factors of 607

:

1,607

Greatest Common Factor

We found the factors 967,607 . The biggest common factor number is the GCF number.
So the greatest common factor 967,607 is 1.

Lets's calculate LCM of 26,293

Lowest Common Multiple of 26,293 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7618

Therefore, the GCF of Fractions 967/26,607/293 is 1/7618

Least Common Multiple of 26,293 with GCF Formula

Least Common Multiple of 26,293 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 26,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,293) = 1

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

GCF(26,293) x common factors =1 x 1 = 1

LCM(26,293) = ( 26 × 293 ) / 1

LCM(26,293) = 7618 / 1

LCM(26,293) = 7618


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FAQs on GCF of Fractions of 967/26, 607/293

1. What is the HCF of 967,607?

The HCF of 967,607 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 967/26, 607/293?

Answer: GCF of Numerators as per given numbers 967/26, 607/293 is

GCF of Numerators i.e. for 967,607 is 1

LCM of denominators i.e. for 26,293 is 7618.

Thus, GCF of Fractions is 1/7618.Finally, GCF of Fractions for 967/26, 607/293 is 1/7618.