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GCF of 1763/952, 7841/327

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 1763/952, 7841/327 i.e 1/311304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1763/952, 7841/327.

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 1763/952,7841/327?

Given fractions are 1763/952,7841/327

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 1763/952,7841/327, numerators are 1763,7841

Denominators are 952,327

The GCF of 1763,7841 is 1 .

LCM of 952,327 is 311304.

The greatest common factor of 1763/952,7841/327 = [GCF of 1763,7841]/[LCM of 952,327]= 1/311304

Therefore, the GCF of 1763/952,7841/327 is 1/311304.

Greatest Common Factor of 1763,7841

To find the highest common factor of 1763,7841, we have to find the factors of both numbers and list the highest common factor.

The factors of 1763 are 1, 41, 43, 1763

The factors of 7841 are 1, 7841

The HCF of 1763,7841 is 1.

Lets's calculate GCF of 1763,7841

Greatest Common Factor (GCF) of 1763,7841 By Common Division

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

Greatest Common Factor of 1763,7841 By Matching Biggest Common Factor Method

Greatest Common Factor of 1763,7841 By Matching Biggest Common Factor Method

Now, list down the factors of 1763

:

1,41,43,1763

Now, list down the factors of 7841

:

1,7841

Greatest Common Factor

We found the factors 1763,7841 . The biggest common factor number is the GCF number.
So the greatest common factor 1763,7841 is 1.

Lets's calculate LCM of 952,327

Lowest Common Multiple of 952,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 311304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311304

Therefore, the GCF of Fractions 1763/952,7841/327 is 1/311304

Least Common Multiple of 952,327 with GCF Formula

Least Common Multiple of 952,327 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 952,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,327) = 1

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

GCF(952,327) x common factors =1 x 1 = 1

LCM(952,327) = ( 952 × 327 ) / 1

LCM(952,327) = 311304 / 1

LCM(952,327) = 311304


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FAQs on GCF of Fractions of 1763/952, 7841/327

1. What is the HCF of 1763,7841?

The HCF of 1763,7841 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 1763/952, 7841/327?

Answer: GCF of Numerators as per given numbers 1763/952, 7841/327 is

GCF of Numerators i.e. for 1763,7841 is 1

LCM of denominators i.e. for 952,327 is 311304.

Thus, GCF of Fractions is 1/311304.Finally, GCF of Fractions for 1763/952, 7841/327 is 1/311304.