How to Find GCF of 925/148, 6500/406?

GCF of 925/148, 6500/406

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 925/148, 6500/406 i.e 25/30044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 925/148, 6500/406.

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 925/148,6500/406?

Given fractions are 925/148,6500/406

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 925/148,6500/406, numerators are 925,6500

Denominators are 148,406

The GCF of 925,6500 is 25 .

LCM of 148,406 is 30044.

The greatest common factor of 925/148,6500/406 = [GCF of 925,6500]/[LCM of 148,406]= 25/30044

Therefore, the GCF of 925/148,6500/406 is 25/30044.

Greatest Common Factor of 925,6500

To find the highest common factor of 925,6500, we have to find the factors of both numbers and list the highest common factor.

The factors of 925 are 1, 5, 25, 37, 185, 925

The factors of 6500 are 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 125, 130, 250, 260, 325, 500, 650, 1300, 1625, 3250, 6500

The HCF of 925,6500 is 25.

Lets's calculate GCF of 925,6500

Greatest Common Factor (GCF) of 925,6500 By Common Division

5	925, 6500
5	185, 1300
	37, 260

∴ So the GCF of the given numbers is 5 x 5 = 25

Greatest Common Factor of 925,6500 By Matching Biggest Common Factor Method

Now, list down the factors of 925

1,5,25,37,185,925

Now, list down the factors of 6500

1,2,4,5,10,13,20,25,26,50,52,65,100,125,130,250,260,325,500,650,1300,1625,3250,6500

Greatest Common Factor

We found the factors 925,6500 . The biggest common factor number is the GCF number.
So the greatest common factor 925,6500 is 25.

Lets's calculate LCM of 148,406

Lowest Common Multiple of 148,406 using Common Division

2	148, 406
	74, 203

∴ So the LCM of the given numbers is 2 x 74 x 203 = 30044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/30044

Therefore, the GCF of Fractions 925/148,6500/406 is 25/30044

Least Common Multiple of 148,406 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 148,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,406) = 2

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

GCF(148,406) x common factors =2 x 1 = 2

LCM(148,406) = ( 148 × 406 ) / 2

LCM(148,406) = 60088 / 2

LCM(148,406) = 30044

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 925/148, 6500/406

1. What is the HCF of 925,6500?

The HCF of 925,6500 is 25

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 925/148, 6500/406?

Answer: GCF of Numerators as per given numbers 925/148, 6500/406 is

GCF of Numerators i.e. for 925,6500 is 25

LCM of denominators i.e. for 148,406 is 30044.

Thus, GCF of Fractions is 25/30044.Finally, GCF of Fractions for 925/148, 6500/406 is 25/30044.