Greatest Common Factor of 1877/105, 4653/8008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1877/105, 4653/8008

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 1877/105,4653/8008

Given fractions are 1877/105,4653/8008

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 1877,4653

Greatest Common Factor of Numerators i.e. GCF of 1877,4653 is 1 .

LCM of Denominators means LCM of 105,8008 as per the given fractions.

LCM of 105,8008 is 120120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1877,4653

GCF of Fractions 1877/105,4653/8008 is 1/120120

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

Greatest Common Factor of 1877,4653 By Matching Biggest Common Factor Method

Greatest Common Factor of 1877,4653 By Matching Biggest Common Factor Method

Factors of 1877

List of positive integer factors of 1877 that divides 1877 without a remainder.

1,1877

Factors of 4653

List of positive integer factors of 4653 that divides 4653 without a remainder.

1,3,9,11,33,47,99,141,423,517,1551,4653

Greatest Common Factor

We found the factors 1877,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 1877,4653 is 1.

Lets's calculate LCM of 105,8008

7 105, 8008
15, 1144

∴ So the LCM of the given numbers is 7 x 15 x 1144 = 120120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120120

Therefore, the GCF of Fractions 1877/105,4653/8008 is 1/120120

Least Common Multiple of 105,8008 with GCF Formula

Least Common Multiple of 105,8008 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 105,8008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,8008) = 7

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

GCF(105,8008) x common factors =7 x 1 = 7

LCM(105,8008) = ( 105 × 8008 ) / 7

LCM(105,8008) = 840840 / 7

LCM(105,8008) = 120120


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 1877/105, 4653/8008

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 1877/105, 4653/8008?

Answer: GCF of Numerators as per given numbers 1877/105, 4653/8008 is

GCF of Numerators i.e. for 1877,4653 is 1

LCM of denominators i.e. for 105,8008 is 120120.

Thus, GCF of Fractions is 1/120120.Finally, GCF of Fractions for 1877/105, 4653/8008 is 1/120120.