Greatest Common Factor of 700/2192, 455/1632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/2192, 455/1632

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 700/2192,455/1632

Given fractions are 700/2192,455/1632

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 700,455

Greatest Common Factor of Numerators i.e. GCF of 700,455 is 35 .

LCM of Denominators means LCM of 2192,1632 as per the given fractions.

LCM of 2192,1632 is 223584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,455

GCF of Fractions 700/2192,455/1632 is 35/223584

5 700, 455
7 140, 91
20, 13

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

Greatest Common Factor of 700,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,455 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 700,455 . The biggest common factor number is the GCF number.
So the greatest common factor 700,455 is 35.

Lets's calculate LCM of 2192,1632

2 2192, 1632
2 1096, 816
2 548, 408
2 274, 204
137, 102

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 137 x 102 = 223584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/223584

Therefore, the GCF of Fractions 700/2192,455/1632 is 35/223584

Least Common Multiple of 2192,1632 with GCF Formula

Least Common Multiple of 2192,1632 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 2192,1632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2192,1632) = 16

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

GCF(2192,1632) x common factors =16 x 1 = 16

LCM(2192,1632) = ( 2192 × 1632 ) / 16

LCM(2192,1632) = 3577344 / 16

LCM(2192,1632) = 223584


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 700/2192, 455/1632

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 700/2192, 455/1632?

Answer: GCF of Numerators as per given numbers 700/2192, 455/1632 is

GCF of Numerators i.e. for 700,455 is 35

LCM of denominators i.e. for 2192,1632 is 223584.

Thus, GCF of Fractions is 35/223584.Finally, GCF of Fractions for 700/2192, 455/1632 is 35/223584.