Greatest Common Factor of 677/35, 889/78, 960/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/35, 889/78, 960/503

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 677/35,889/78,960/503

Given fractions are 677/35,889/78,960/503

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 677,889,960

Greatest Common Factor of Numerators i.e. GCF of 677,889,960 is 1 .

LCM of Denominators means LCM of 35,78,503 as per the given fractions.

LCM of 35,78,503 is 1373190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,889,960

GCF of Fractions 677/35,889/78,960/503 is 1/1373190

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

Greatest Common Factor of 677,889,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,889,960 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1,7,127,889

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 677,889,960 . The biggest common factor number is the GCF number.
So the greatest common factor 677,889,960 is 1.

Lets's calculate LCM of 35,78,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 1373190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1373190

Therefore, the GCF of Fractions 677/35,889/78,960/503 is 1/1373190

Least Common Multiple of 35,78,503 with GCF Formula

Least Common Multiple of 35,78,503 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 35,78,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,78,503) = 1

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

GCF(35,78,503) x common factors =1 x 1 = 1

LCM(35,78,503) = ( 35 × 78 × 503 ) / 1

LCM(35,78,503) = 1373190 / 1

LCM(35,78,503) = 1373190


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 677/35, 889/78, 960/503

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 677/35, 889/78, 960/503?

Answer: GCF of Numerators as per given numbers 677/35, 889/78, 960/503 is

GCF of Numerators i.e. for 677,889,960 is 1

LCM of denominators i.e. for 35,78,503 is 1373190.

Thus, GCF of Fractions is 1/1373190.Finally, GCF of Fractions for 677/35, 889/78, 960/503 is 1/1373190.