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GCF of 767/847, 253/180

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 767/847, 253/180 i.e 1/152460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 767/847, 253/180.

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 767/847,253/180?

Given fractions are 767/847,253/180

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 767/847,253/180, numerators are 767,253

Denominators are 847,180

The GCF of 767,253 is 1 .

LCM of 847,180 is 152460.

The greatest common factor of 767/847,253/180 = [GCF of 767,253]/[LCM of 847,180]= 1/152460

Therefore, the GCF of 767/847,253/180 is 1/152460.

Greatest Common Factor of 767,253

To find the highest common factor of 767,253, we have to find the factors of both numbers and list the highest common factor.

The factors of 767 are 1, 13, 59, 767

The factors of 253 are 1, 11, 23, 253

The HCF of 767,253 is 1.

Lets's calculate GCF of 767,253

Greatest Common Factor (GCF) of 767,253 By Common Division

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

Greatest Common Factor of 767,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,253 By Matching Biggest Common Factor Method

Now, list down the factors of 767

:

1,13,59,767

Now, list down the factors of 253

:

1,11,23,253

Greatest Common Factor

We found the factors 767,253 . The biggest common factor number is the GCF number.
So the greatest common factor 767,253 is 1.

Lets's calculate LCM of 847,180

Lowest Common Multiple of 847,180 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 152460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152460

Therefore, the GCF of Fractions 767/847,253/180 is 1/152460

Least Common Multiple of 847,180 with GCF Formula

Least Common Multiple of 847,180 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 847,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(847,180) = 1

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

GCF(847,180) x common factors =1 x 1 = 1

LCM(847,180) = ( 847 × 180 ) / 1

LCM(847,180) = 152460 / 1

LCM(847,180) = 152460


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FAQs on GCF of Fractions of 767/847, 253/180

1. What is the HCF of 767,253?

The HCF of 767,253 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 767/847, 253/180?

Answer: GCF of Numerators as per given numbers 767/847, 253/180 is

GCF of Numerators i.e. for 767,253 is 1

LCM of denominators i.e. for 847,180 is 152460.

Thus, GCF of Fractions is 1/152460.Finally, GCF of Fractions for 767/847, 253/180 is 1/152460.