How to Find GCF of 77/85, 926/93, 416/158?

GCF of 77/85, 926/93, 416/158

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 77/85, 926/93, 416/158 i.e 1/1248990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/85, 926/93, 416/158.

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 77/85,926/93,416/158?

Given fractions are 77/85,926/93,416/158

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 77/85,926/93,416/158, numerators are 77,926,416

Denominators are 85,93,158

The GCF of 77,926,416 is 1 .

LCM of 85,93,158 is 1248990.

The greatest common factor of 77/85,926/93,416/158 = [GCF of 77,926,416]/[LCM of 85,93,158]= 1/1248990

Therefore, the GCF of 77/85,926/93,416/158 is 1/1248990.

Greatest Common Factor of 77,926,416

To find the highest common factor of 77,926,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 77 are 1, 7, 11, 77

The factors of 926 are 1, 2, 463, 926

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 77,926,416 is 1.

Lets's calculate GCF of 77,926,416

Greatest Common Factor (GCF) of 77,926,416 By Common Division

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

Greatest Common Factor of 77,926,416 By Matching Biggest Common Factor Method

Now, list down the factors of 77

1,7,11,77

Now, list down the factors of 926

1,2,463,926

Now, list down the factors of 416

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 77,926,416 . The biggest common factor number is the GCF number.
So the greatest common factor 77,926,416 is 1.

Lets's calculate LCM of 85,93,158

Lowest Common Multiple of 85,93,158 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1248990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1248990

Therefore, the GCF of Fractions 77/85,926/93,416/158 is 1/1248990

Least Common Multiple of 85,93,158 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 85,93,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,93,158) = 1

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

GCF(85,93,158) x common factors =1 x 1 = 1

LCM(85,93,158) = ( 85 × 93 × 158 ) / 1

LCM(85,93,158) = 1248990 / 1

LCM(85,93,158) = 1248990

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 77/85, 926/93, 416/158

1. What is the HCF of 77,926,416?

The HCF of 77,926,416 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 77/85, 926/93, 416/158?

Answer: GCF of Numerators as per given numbers 77/85, 926/93, 416/158 is

GCF of Numerators i.e. for 77,926,416 is 1

LCM of denominators i.e. for 85,93,158 is 1248990.

Thus, GCF of Fractions is 1/1248990.Finally, GCF of Fractions for 77/85, 926/93, 416/158 is 1/1248990.