Greatest Common Factor of 1/35, 70/87, 19/316, 749/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/35, 70/87, 19/316, 749/632

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 1/35,70/87,19/316,749/632

Given fractions are 1/35,70/87,19/316,749/632

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 1,70,19,749

Greatest Common Factor of Numerators i.e. GCF of 1,70,19,749 is 1 .

LCM of Denominators means LCM of 35,87,316,632 as per the given fractions.

LCM of 35,87,316,632 is 1924440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,70,19,749

GCF of Fractions 1/35,70/87,19/316,749/632 is 1/1924440

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

Greatest Common Factor of 1,70,19,749 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,70,19,749 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors 1,70,19,749 . The biggest common factor number is the GCF number.
So the greatest common factor 1,70,19,749 is 1.

Lets's calculate LCM of 35,87,316,632

2 35, 87, 316, 632
2 35, 87, 158, 316
79 35, 87, 79, 158
35, 87, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 79 x 35 x 87 x 1 x 2 = 1924440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1924440

Therefore, the GCF of Fractions 1/35,70/87,19/316,749/632 is 1/1924440

Least Common Multiple of 35,87,316,632 with GCF Formula

Least Common Multiple of 35,87,316,632 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 35,87,316,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,87,316,632) = 1

common factors(in case of two or more numbers have common factors) = 316

GCF(35,87,316,632) x common factors =1 x 316 = 316

LCM(35,87,316,632) = ( 35 × 87 × 316 × 632 ) / 316

LCM(35,87,316,632) = 608123040 / 316

LCM(35,87,316,632) = 1924440


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 1/35, 70/87, 19/316, 749/632

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 1/35, 70/87, 19/316, 749/632?

Answer: GCF of Numerators as per given numbers 1/35, 70/87, 19/316, 749/632 is

GCF of Numerators i.e. for 1,70,19,749 is 1

LCM of denominators i.e. for 35,87,316,632 is 1924440.

Thus, GCF of Fractions is 1/1924440.Finally, GCF of Fractions for 1/35, 70/87, 19/316, 749/632 is 1/1924440.