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GCF of 77/360, 10/743

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 77/360, 10/743 i.e 1/267480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/360, 10/743.

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 77/360,10/743?

Given fractions are 77/360,10/743

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 77/360,10/743, numerators are 77,10

Denominators are 360,743

The GCF of 77,10 is 1 .

LCM of 360,743 is 267480.

The greatest common factor of 77/360,10/743 = [GCF of 77,10]/[LCM of 360,743]= 1/267480

Therefore, the GCF of 77/360,10/743 is 1/267480.

Greatest Common Factor of 77,10

To find the highest common factor of 77,10, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 10 are 1, 2, 5, 10

The HCF of 77,10 is 1.

Lets's calculate GCF of 77,10

Greatest Common Factor (GCF) of 77,10 By Common Division

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

Greatest Common Factor of 77,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,10 By Matching Biggest Common Factor Method

Now, list down the factors of 77

:

1,7,11,77

Now, list down the factors of 10

:

1,2,5,10

Greatest Common Factor

We found the factors 77,10 . The biggest common factor number is the GCF number.
So the greatest common factor 77,10 is 1.

Lets's calculate LCM of 360,743

Lowest Common Multiple of 360,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 267480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/267480

Therefore, the GCF of Fractions 77/360,10/743 is 1/267480

Least Common Multiple of 360,743 with GCF Formula

Least Common Multiple of 360,743 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 360,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,743) = 1

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

GCF(360,743) x common factors =1 x 1 = 1

LCM(360,743) = ( 360 × 743 ) / 1

LCM(360,743) = 267480 / 1

LCM(360,743) = 267480


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FAQs on GCF of Fractions of 77/360, 10/743

1. What is the HCF of 77,10?

The HCF of 77,10 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 77/360, 10/743?

Answer: GCF of Numerators as per given numbers 77/360, 10/743 is

GCF of Numerators i.e. for 77,10 is 1

LCM of denominators i.e. for 360,743 is 267480.

Thus, GCF of Fractions is 1/267480.Finally, GCF of Fractions for 77/360, 10/743 is 1/267480.