Greatest Common Factor of 5426/175, 1228/5370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5426/175, 1228/5370

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 5426/175,1228/5370

Given fractions are 5426/175,1228/5370

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 5426,1228

Greatest Common Factor of Numerators i.e. GCF of 5426,1228 is 2 .

LCM of Denominators means LCM of 175,5370 as per the given fractions.

LCM of 175,5370 is 187950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5426,1228

GCF of Fractions 5426/175,1228/5370 is 2/187950

2 5426, 1228
2713, 614

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5426,1228 By Matching Biggest Common Factor Method

Greatest Common Factor of 5426,1228 By Matching Biggest Common Factor Method

Factors of 5426

List of positive integer factors of 5426 that divides 5426 without a remainder.

1,2,2713,5426

Factors of 1228

List of positive integer factors of 1228 that divides 1228 without a remainder.

1,2,4,307,614,1228

Greatest Common Factor

We found the factors 5426,1228 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,1228 is 2.


Lets's calculate LCM of 175,5370

5 175, 5370
35, 1074

∴ So the LCM of the given numbers is 5 x 35 x 1074 = 187950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/187950

Therefore, the GCF of Fractions 5426/175,1228/5370 is 2/187950

Least Common Multiple of 175,5370 with GCF Formula

Least Common Multiple of 175,5370 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 175,5370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,5370) = 5

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

GCF(175,5370) x common factors =5 x 1 = 5

LCM(175,5370) = ( 175 × 5370 ) / 5

LCM(175,5370) = 939750 / 5

LCM(175,5370) = 187950


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5426/175, 1228/5370

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 5426/175, 1228/5370?

Answer: GCF of Numerators as per given numbers 5426/175, 1228/5370 is

GCF of Numerators i.e. for 5426,1228 is 2

LCM of denominators i.e. for 175,5370 is 187950.

Thus, GCF of Fractions is 2/187950.Finally, GCF of Fractions for 5426/175, 1228/5370 is 2/187950.