Greatest Common Factor of 175/200, 8120/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 175/200, 8120/645

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 175/200,8120/645

Given fractions are 175/200,8120/645

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 175,8120

Greatest Common Factor of Numerators i.e. GCF of 175,8120 is 35 .

LCM of Denominators means LCM of 200,645 as per the given fractions.

LCM of 200,645 is 25800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 175,8120

GCF of Fractions 175/200,8120/645 is 35/25800

5 175, 8120
7 35, 1624
5, 232

∴ So the GCF of the given numbers is 5 x 7 = 35

Greatest Common Factor of 175,8120 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,8120 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1,2,4,5,7,8,10,14,20,28,29,35,40,56,58,70,116,140,145,203,232,280,290,406,580,812,1015,1160,1624,2030,4060,8120

Greatest Common Factor

We found the factors 175,8120 . The biggest common factor number is the GCF number.
So the greatest common factor 175,8120 is 35.

Lets's calculate LCM of 200,645

5 200, 645
40, 129

∴ So the LCM of the given numbers is 5 x 40 x 129 = 25800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/25800

Therefore, the GCF of Fractions 175/200,8120/645 is 35/25800

Least Common Multiple of 200,645 with GCF Formula

Least Common Multiple of 200,645 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 200,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,645) = 5

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

GCF(200,645) x common factors =5 x 1 = 5

LCM(200,645) = ( 200 × 645 ) / 5

LCM(200,645) = 129000 / 5

LCM(200,645) = 25800


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 175/200, 8120/645

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 175/200, 8120/645?

Answer: GCF of Numerators as per given numbers 175/200, 8120/645 is

GCF of Numerators i.e. for 175,8120 is 35

LCM of denominators i.e. for 200,645 is 25800.

Thus, GCF of Fractions is 35/25800.Finally, GCF of Fractions for 175/200, 8120/645 is 35/25800.