How to Find GCF of 7125/925, 2212/404?

GCF of 7125/925, 2212/404

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7125/925, 2212/404 i.e 1/373700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7125/925, 2212/404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7125/925,2212/404?

Given fractions are 7125/925,2212/404

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7125/925,2212/404, numerators are 7125,2212

Denominators are 925,404

The GCF of 7125,2212 is 1 .

LCM of 925,404 is 373700.

The greatest common factor of 7125/925,2212/404 = [GCF of 7125,2212]/[LCM of 925,404]= 1/373700

Therefore, the GCF of 7125/925,2212/404 is 1/373700.

Greatest Common Factor of 7125,2212

To find the highest common factor of 7125,2212, we have to find the factors of both numbers and list the highest common factor.

The factors of 7125 are 1, 3, 5, 15, 19, 25, 57, 75, 95, 125, 285, 375, 475, 1425, 2375, 7125

The factors of 2212 are 1, 2, 4, 7, 14, 28, 79, 158, 316, 553, 1106, 2212

The HCF of 7125,2212 is 1.

Lets's calculate GCF of 7125,2212

Greatest Common Factor (GCF) of 7125,2212 By Common Division

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

Greatest Common Factor of 7125,2212 By Matching Biggest Common Factor Method

Now, list down the factors of 7125

1,3,5,15,19,25,57,75,95,125,285,375,475,1425,2375,7125

Now, list down the factors of 2212

1,2,4,7,14,28,79,158,316,553,1106,2212

Greatest Common Factor

We found the factors 7125,2212 . The biggest common factor number is the GCF number.
So the greatest common factor 7125,2212 is 1.

Lets's calculate LCM of 925,404

Lowest Common Multiple of 925,404 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 373700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373700

Therefore, the GCF of Fractions 7125/925,2212/404 is 1/373700

Least Common Multiple of 925,404 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 925,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,404) = 1

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

GCF(925,404) x common factors =1 x 1 = 1

LCM(925,404) = ( 925 × 404 ) / 1

LCM(925,404) = 373700 / 1

LCM(925,404) = 373700

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FAQs on GCF of Fractions of 7125/925, 2212/404

1. What is the HCF of 7125,2212?

The HCF of 7125,2212 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 7125/925, 2212/404?

Answer: GCF of Numerators as per given numbers 7125/925, 2212/404 is

GCF of Numerators i.e. for 7125,2212 is 1

LCM of denominators i.e. for 925,404 is 373700.

Thus, GCF of Fractions is 1/373700.Finally, GCF of Fractions for 7125/925, 2212/404 is 1/373700.