Greatest Common Factor of 47/772, 49/457, 308/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 47/772, 49/457, 308/175

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 47/772,49/457,308/175

Given fractions are 47/772,49/457,308/175

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 47,49,308

Greatest Common Factor of Numerators i.e. GCF of 47,49,308 is 1 .

LCM of Denominators means LCM of 772,457,175 as per the given fractions.

LCM of 772,457,175 is 61740700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 47,49,308

GCF of Fractions 47/772,49/457,308/175 is 1/61740700

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

Greatest Common Factor of 47,49,308 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,49,308 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 308

List of positive integer factors of 308 that divides 308 without a remainder.

1,2,4,7,11,14,22,28,44,77,154,308

Greatest Common Factor

We found the factors 47,49,308 . The biggest common factor number is the GCF number.
So the greatest common factor 47,49,308 is 1.


Lets's calculate LCM of 772,457,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 61740700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61740700

Therefore, the GCF of Fractions 47/772,49/457,308/175 is 1/61740700

Least Common Multiple of 772,457,175 with GCF Formula

Least Common Multiple of 772,457,175 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 772,457,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,457,175) = 1

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

GCF(772,457,175) x common factors =1 x 1 = 1

LCM(772,457,175) = ( 772 × 457 × 175 ) / 1

LCM(772,457,175) = 61740700 / 1

LCM(772,457,175) = 61740700


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 47/772, 49/457, 308/175

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 47/772, 49/457, 308/175?

Answer: GCF of Numerators as per given numbers 47/772, 49/457, 308/175 is

GCF of Numerators i.e. for 47,49,308 is 1

LCM of denominators i.e. for 772,457,175 is 61740700.

Thus, GCF of Fractions is 1/61740700.Finally, GCF of Fractions for 47/772, 49/457, 308/175 is 1/61740700.