How to Find GCF of 64/916, 98/160, 109/149?

GCF of 64/916, 98/160, 109/149

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 64/916, 98/160, 109/149 i.e 1/5459360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/916, 98/160, 109/149.

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 64/916,98/160,109/149?

Given fractions are 64/916,98/160,109/149

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 64/916,98/160,109/149, numerators are 64,98,109

Denominators are 916,160,149

The GCF of 64,98,109 is 1 .

LCM of 916,160,149 is 5459360.

The greatest common factor of 64/916,98/160,109/149 = [GCF of 64,98,109]/[LCM of 916,160,149]= 1/5459360

Therefore, the GCF of 64/916,98/160,109/149 is 1/5459360.

Greatest Common Factor of 64,98,109

To find the highest common factor of 64,98,109, we have to find the factors of both numbers and list the highest common factor.

The factors of 64 are 1, 2, 4, 8, 16, 32, 64

The factors of 98 are 1, 2, 7, 14, 49, 98

The factors of 109 are 1, 109

The HCF of 64,98,109 is 1.

Lets's calculate GCF of 64,98,109

Greatest Common Factor (GCF) of 64,98,109 By Common Division

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

Greatest Common Factor of 64,98,109 By Matching Biggest Common Factor Method

Now, list down the factors of 64

1,2,4,8,16,32,64

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 109

1,109

Greatest Common Factor

We found the factors 64,98,109 . The biggest common factor number is the GCF number.
So the greatest common factor 64,98,109 is 1.

Lets's calculate LCM of 916,160,149

Lowest Common Multiple of 916,160,149 using Common Division

2	916, 160, 149
2	458, 80, 149
	229, 40, 149

∴ So the LCM of the given numbers is 2 x 2 x 229 x 40 x 149 = 5459360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5459360

Therefore, the GCF of Fractions 64/916,98/160,109/149 is 1/5459360

Least Common Multiple of 916,160,149 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 916,160,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(916,160,149) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(916,160,149) x common factors =1 x 4 = 4

LCM(916,160,149) = ( 916 × 160 × 149 ) / 4

LCM(916,160,149) = 21837440 / 4

LCM(916,160,149) = 5459360

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 64/916, 98/160, 109/149

1. What is the HCF of 64,98,109?

The HCF of 64,98,109 is 1

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 64/916, 98/160, 109/149?

Answer: GCF of Numerators as per given numbers 64/916, 98/160, 109/149 is

GCF of Numerators i.e. for 64,98,109 is 1

LCM of denominators i.e. for 916,160,149 is 5459360.

Thus, GCF of Fractions is 1/5459360.Finally, GCF of Fractions for 64/916, 98/160, 109/149 is 1/5459360.