Greatest Common Factor of 701/914, 1653/620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 701/914, 1653/620

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 701/914,1653/620

Given fractions are 701/914,1653/620

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 701,1653

Greatest Common Factor of Numerators i.e. GCF of 701,1653 is 1 .

LCM of Denominators means LCM of 914,620 as per the given fractions.

LCM of 914,620 is 283340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 701,1653

GCF of Fractions 701/914,1653/620 is 1/283340

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

Greatest Common Factor of 701,1653 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,1653 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 1653

List of positive integer factors of 1653 that divides 1653 without a remainder.

1,3,19,29,57,87,551,1653

Greatest Common Factor

We found the factors 701,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 701,1653 is 1.

Lets's calculate LCM of 914,620

2 914, 620
457, 310

∴ So the LCM of the given numbers is 2 x 457 x 310 = 283340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283340

Therefore, the GCF of Fractions 701/914,1653/620 is 1/283340

Least Common Multiple of 914,620 with GCF Formula

Least Common Multiple of 914,620 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 914,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,620) = 2

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

GCF(914,620) x common factors =2 x 1 = 2

LCM(914,620) = ( 914 × 620 ) / 2

LCM(914,620) = 566680 / 2

LCM(914,620) = 283340


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 701/914, 1653/620

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 701/914, 1653/620?

Answer: GCF of Numerators as per given numbers 701/914, 1653/620 is

GCF of Numerators i.e. for 701,1653 is 1

LCM of denominators i.e. for 914,620 is 283340.

Thus, GCF of Fractions is 1/283340.Finally, GCF of Fractions for 701/914, 1653/620 is 1/283340.