Greatest Common Factor of 848/35, 421/71, 763/647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 848/35, 421/71, 763/647

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 848/35,421/71,763/647

Given fractions are 848/35,421/71,763/647

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 848,421,763

Greatest Common Factor of Numerators i.e. GCF of 848,421,763 is 1 .

LCM of Denominators means LCM of 35,71,647 as per the given fractions.

LCM of 35,71,647 is 1607795 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 848,421,763

GCF of Fractions 848/35,421/71,763/647 is 1/1607795

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

Greatest Common Factor of 848,421,763 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,421,763 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1,7,109,763

Greatest Common Factor

We found the factors 848,421,763 . The biggest common factor number is the GCF number.
So the greatest common factor 848,421,763 is 1.

Lets's calculate LCM of 35,71,647

Given numbers has no common factors except 1. So, there LCM is their product i.e 1607795

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1607795

Therefore, the GCF of Fractions 848/35,421/71,763/647 is 1/1607795

Least Common Multiple of 35,71,647 with GCF Formula

Least Common Multiple of 35,71,647 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 35,71,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,71,647) = 1

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

GCF(35,71,647) x common factors =1 x 1 = 1

LCM(35,71,647) = ( 35 × 71 × 647 ) / 1

LCM(35,71,647) = 1607795 / 1

LCM(35,71,647) = 1607795


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 848/35, 421/71, 763/647

1. 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.

2. What is the GCF of Fractions for 848/35, 421/71, 763/647?

Answer: GCF of Numerators as per given numbers 848/35, 421/71, 763/647 is

GCF of Numerators i.e. for 848,421,763 is 1

LCM of denominators i.e. for 35,71,647 is 1607795.

Thus, GCF of Fractions is 1/1607795.Finally, GCF of Fractions for 848/35, 421/71, 763/647 is 1/1607795.