How to Find GCF of 910/80, 719/9076?

GCF of 910/80, 719/9076

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 910/80, 719/9076 i.e 1/181520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/80, 719/9076.

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 910/80,719/9076?

Given fractions are 910/80,719/9076

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 910/80,719/9076, numerators are 910,719

Denominators are 80,9076

The GCF of 910,719 is 1 .

LCM of 80,9076 is 181520.

The greatest common factor of 910/80,719/9076 = [GCF of 910,719]/[LCM of 80,9076]= 1/181520

Therefore, the GCF of 910/80,719/9076 is 1/181520.

Greatest Common Factor of 910,719

To find the highest common factor of 910,719, we have to find the factors of both numbers and list the highest common factor.

The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

The factors of 719 are 1, 719

The HCF of 910,719 is 1.

Lets's calculate GCF of 910,719

Greatest Common Factor (GCF) of 910,719 By Common Division

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

Greatest Common Factor of 910,719 By Matching Biggest Common Factor Method

Now, list down the factors of 910

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Now, list down the factors of 719

1,719

Greatest Common Factor

We found the factors 910,719 . The biggest common factor number is the GCF number.
So the greatest common factor 910,719 is 1.

Lets's calculate LCM of 80,9076

Lowest Common Multiple of 80,9076 using Common Division

2	80, 9076
2	40, 4538
	20, 2269

∴ So the LCM of the given numbers is 2 x 2 x 20 x 2269 = 181520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181520

Therefore, the GCF of Fractions 910/80,719/9076 is 1/181520

Least Common Multiple of 80,9076 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 80,9076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,9076) = 4

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

GCF(80,9076) x common factors =4 x 1 = 4

LCM(80,9076) = ( 80 × 9076 ) / 4

LCM(80,9076) = 726080 / 4

LCM(80,9076) = 181520

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FAQs on GCF of Fractions of 910/80, 719/9076

1. What is the HCF of 910,719?

The HCF of 910,719 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 910/80, 719/9076?

Answer: GCF of Numerators as per given numbers 910/80, 719/9076 is

GCF of Numerators i.e. for 910,719 is 1

LCM of denominators i.e. for 80,9076 is 181520.

Thus, GCF of Fractions is 1/181520.Finally, GCF of Fractions for 910/80, 719/9076 is 1/181520.