Greatest Common Factor of 75/527, 685/246, 703/503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/527, 685/246, 703/503

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 75/527,685/246,703/503

Given fractions are 75/527,685/246,703/503

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 75,685,703

Greatest Common Factor of Numerators i.e. GCF of 75,685,703 is 1 .

LCM of Denominators means LCM of 527,246,503 as per the given fractions.

LCM of 527,246,503 is 65209926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,685,703

GCF of Fractions 75/527,685/246,703/503 is 1/65209926

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

Greatest Common Factor of 75,685,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,685,703 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 75,685,703 . The biggest common factor number is the GCF number.
So the greatest common factor 75,685,703 is 1.

Lets's calculate LCM of 527,246,503

Given numbers has no common factors except 1. So, there LCM is their product i.e 65209926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65209926

Therefore, the GCF of Fractions 75/527,685/246,703/503 is 1/65209926

Least Common Multiple of 527,246,503 with GCF Formula

Least Common Multiple of 527,246,503 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 527,246,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,246,503) = 1

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

GCF(527,246,503) x common factors =1 x 1 = 1

LCM(527,246,503) = ( 527 × 246 × 503 ) / 1

LCM(527,246,503) = 65209926 / 1

LCM(527,246,503) = 65209926


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 75/527, 685/246, 703/503

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 75/527, 685/246, 703/503?

Answer: GCF of Numerators as per given numbers 75/527, 685/246, 703/503 is

GCF of Numerators i.e. for 75,685,703 is 1

LCM of denominators i.e. for 527,246,503 is 65209926.

Thus, GCF of Fractions is 1/65209926.Finally, GCF of Fractions for 75/527, 685/246, 703/503 is 1/65209926.