Greatest Common Factor of 1825/344, 4526/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1825/344, 4526/776

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 1825/344,4526/776

Given fractions are 1825/344,4526/776

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 1825,4526

Greatest Common Factor of Numerators i.e. GCF of 1825,4526 is 73 .

LCM of Denominators means LCM of 344,776 as per the given fractions.

LCM of 344,776 is 33368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1825,4526

GCF of Fractions 1825/344,4526/776 is 73/33368

73 1825, 4526
25, 62

∴ So the GCF of the given numbers is 73 = 73

Greatest Common Factor of 1825,4526 By Matching Biggest Common Factor Method

Greatest Common Factor of 1825,4526 By Matching Biggest Common Factor Method

Factors of 1825

List of positive integer factors of 1825 that divides 1825 without a remainder.

1,5,25,73,365,1825

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1,2,31,62,73,146,2263,4526

Greatest Common Factor

We found the factors 1825,4526 . The biggest common factor number is the GCF number.
So the greatest common factor 1825,4526 is 73.

Lets's calculate LCM of 344,776

2 344, 776
2 172, 388
2 86, 194
43, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 43 x 97 = 33368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 73/33368

Therefore, the GCF of Fractions 1825/344,4526/776 is 73/33368

Least Common Multiple of 344,776 with GCF Formula

Least Common Multiple of 344,776 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 344,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,776) = 8

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

GCF(344,776) x common factors =8 x 1 = 8

LCM(344,776) = ( 344 × 776 ) / 8

LCM(344,776) = 266944 / 8

LCM(344,776) = 33368


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1825/344, 4526/776

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 1825/344, 4526/776?

Answer: GCF of Numerators as per given numbers 1825/344, 4526/776 is

GCF of Numerators i.e. for 1825,4526 is 73

LCM of denominators i.e. for 344,776 is 33368.

Thus, GCF of Fractions is 73/33368.Finally, GCF of Fractions for 1825/344, 4526/776 is 73/33368.