Greatest Common Factor of 415/97, 525/12, 677/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 415/97, 525/12, 677/53

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 415/97,525/12,677/53

Given fractions are 415/97,525/12,677/53

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 415,525,677

Greatest Common Factor of Numerators i.e. GCF of 415,525,677 is 1 .

LCM of Denominators means LCM of 97,12,53 as per the given fractions.

LCM of 97,12,53 is 61692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 415,525,677

GCF of Fractions 415/97,525/12,677/53 is 1/61692

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

Greatest Common Factor of 415,525,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,525,677 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 677

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

1,677

Greatest Common Factor

We found the factors 415,525,677 . The biggest common factor number is the GCF number.
So the greatest common factor 415,525,677 is 1.

Lets's calculate LCM of 97,12,53

Given numbers has no common factors except 1. So, there LCM is their product i.e 61692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61692

Therefore, the GCF of Fractions 415/97,525/12,677/53 is 1/61692

Least Common Multiple of 97,12,53 with GCF Formula

Least Common Multiple of 97,12,53 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 97,12,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,12,53) = 1

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

GCF(97,12,53) x common factors =1 x 1 = 1

LCM(97,12,53) = ( 97 × 12 × 53 ) / 1

LCM(97,12,53) = 61692 / 1

LCM(97,12,53) = 61692


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 415/97, 525/12, 677/53

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 415/97, 525/12, 677/53?

Answer: GCF of Numerators as per given numbers 415/97, 525/12, 677/53 is

GCF of Numerators i.e. for 415,525,677 is 1

LCM of denominators i.e. for 97,12,53 is 61692.

Thus, GCF of Fractions is 1/61692.Finally, GCF of Fractions for 415/97, 525/12, 677/53 is 1/61692.