How to Find GCF of 740/28, 972/5149?

GCF of 740/28, 972/5149

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 740/28, 972/5149 i.e 4/144172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 740/28, 972/5149.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 740/28,972/5149?

Given fractions are 740/28,972/5149

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 740/28,972/5149, numerators are 740,972

Denominators are 28,5149

The GCF of 740,972 is 4 .

LCM of 28,5149 is 144172.

The greatest common factor of 740/28,972/5149 = [GCF of 740,972]/[LCM of 28,5149]= 4/144172

Therefore, the GCF of 740/28,972/5149 is 4/144172.

Greatest Common Factor of 740,972

To find the highest common factor of 740,972, we have to find the factors of both numbers and list the highest common factor.

The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

The factors of 972 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

The HCF of 740,972 is 4.

Lets's calculate GCF of 740,972

Greatest Common Factor (GCF) of 740,972 By Common Division

2	740, 972
2	370, 486
	185, 243

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 740,972 By Matching Biggest Common Factor Method

Now, list down the factors of 740

1,2,4,5,10,20,37,74,148,185,370,740

Now, list down the factors of 972

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 740,972 . The biggest common factor number is the GCF number.
So the greatest common factor 740,972 is 4.

Lets's calculate LCM of 28,5149

Lowest Common Multiple of 28,5149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 144172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/144172

Therefore, the GCF of Fractions 740/28,972/5149 is 4/144172

Least Common Multiple of 28,5149 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,5149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,5149) = 1

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

GCF(28,5149) x common factors =1 x 1 = 1

LCM(28,5149) = ( 28 × 5149 ) / 1

LCM(28,5149) = 144172 / 1

LCM(28,5149) = 144172

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 740/28, 972/5149

1. What is the HCF of 740,972?

The HCF of 740,972 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 740/28, 972/5149?

Answer: GCF of Numerators as per given numbers 740/28, 972/5149 is

GCF of Numerators i.e. for 740,972 is 4

LCM of denominators i.e. for 28,5149 is 144172.

Thus, GCF of Fractions is 4/144172.Finally, GCF of Fractions for 740/28, 972/5149 is 4/144172.