How to Find GCF of 88/40, 35/77, 309/19?

GCF of 88/40, 35/77, 309/19

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 88/40, 35/77, 309/19 i.e 1/58520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/40, 35/77, 309/19.

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 88/40,35/77,309/19?

Given fractions are 88/40,35/77,309/19

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 88/40,35/77,309/19, numerators are 88,35,309

Denominators are 40,77,19

The GCF of 88,35,309 is 1 .

LCM of 40,77,19 is 58520.

The greatest common factor of 88/40,35/77,309/19 = [GCF of 88,35,309]/[LCM of 40,77,19]= 1/58520

Therefore, the GCF of 88/40,35/77,309/19 is 1/58520.

Greatest Common Factor of 88,35,309

To find the highest common factor of 88,35,309, we have to find the factors of both numbers and list the highest common factor.

The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88

The factors of 35 are 1, 5, 7, 35

The factors of 309 are 1, 3, 103, 309

The HCF of 88,35,309 is 1.

Lets's calculate GCF of 88,35,309

Greatest Common Factor (GCF) of 88,35,309 By Common Division

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

Greatest Common Factor of 88,35,309 By Matching Biggest Common Factor Method

Now, list down the factors of 88

1,2,4,8,11,22,44,88

Now, list down the factors of 35

1,5,7,35

Now, list down the factors of 309

1,3,103,309

Greatest Common Factor

We found the factors 88,35,309 . The biggest common factor number is the GCF number.
So the greatest common factor 88,35,309 is 1.

Lets's calculate LCM of 40,77,19

Lowest Common Multiple of 40,77,19 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 58520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58520

Therefore, the GCF of Fractions 88/40,35/77,309/19 is 1/58520

Least Common Multiple of 40,77,19 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 40,77,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,77,19) = 1

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

GCF(40,77,19) x common factors =1 x 1 = 1

LCM(40,77,19) = ( 40 × 77 × 19 ) / 1

LCM(40,77,19) = 58520 / 1

LCM(40,77,19) = 58520

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FAQs on GCF of Fractions of 88/40, 35/77, 309/19

1. What is the HCF of 88,35,309?

The HCF of 88,35,309 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 88/40, 35/77, 309/19?

Answer: GCF of Numerators as per given numbers 88/40, 35/77, 309/19 is

GCF of Numerators i.e. for 88,35,309 is 1

LCM of denominators i.e. for 40,77,19 is 58520.

Thus, GCF of Fractions is 1/58520.Finally, GCF of Fractions for 88/40, 35/77, 309/19 is 1/58520.