Greatest Common Factor of 698/525, 1054/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 698/525, 1054/305

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 698/525,1054/305

Given fractions are 698/525,1054/305

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 698,1054

Greatest Common Factor of Numerators i.e. GCF of 698,1054 is 2 .

LCM of Denominators means LCM of 525,305 as per the given fractions.

LCM of 525,305 is 32025 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 698,1054

GCF of Fractions 698/525,1054/305 is 2/32025

2 698, 1054
349, 527

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

Greatest Common Factor of 698,1054 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,1054 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Greatest Common Factor

We found the factors 698,1054 . The biggest common factor number is the GCF number.
So the greatest common factor 698,1054 is 2.

Lets's calculate LCM of 525,305

5 525, 305
105, 61

∴ So the LCM of the given numbers is 5 x 105 x 61 = 32025

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32025

Therefore, the GCF of Fractions 698/525,1054/305 is 2/32025

Least Common Multiple of 525,305 with GCF Formula

Least Common Multiple of 525,305 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 525,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,305) = 5

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

GCF(525,305) x common factors =5 x 1 = 5

LCM(525,305) = ( 525 × 305 ) / 5

LCM(525,305) = 160125 / 5

LCM(525,305) = 32025


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 698/525, 1054/305

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 698/525, 1054/305?

Answer: GCF of Numerators as per given numbers 698/525, 1054/305 is

GCF of Numerators i.e. for 698,1054 is 2

LCM of denominators i.e. for 525,305 is 32025.

Thus, GCF of Fractions is 2/32025.Finally, GCF of Fractions for 698/525, 1054/305 is 2/32025.