How to Find GCF of 98/12, 711/65, 695/271?

GCF of 98/12, 711/65, 695/271

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 98/12, 711/65, 695/271 i.e 1/211380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/12, 711/65, 695/271.

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 98/12,711/65,695/271?

Given fractions are 98/12,711/65,695/271

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 98/12,711/65,695/271, numerators are 98,711,695

Denominators are 12,65,271

The GCF of 98,711,695 is 1 .

LCM of 12,65,271 is 211380.

The greatest common factor of 98/12,711/65,695/271 = [GCF of 98,711,695]/[LCM of 12,65,271]= 1/211380

Therefore, the GCF of 98/12,711/65,695/271 is 1/211380.

Greatest Common Factor of 98,711,695

To find the highest common factor of 98,711,695, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 711 are 1, 3, 9, 79, 237, 711

The factors of 695 are 1, 5, 139, 695

The HCF of 98,711,695 is 1.

Lets's calculate GCF of 98,711,695

Greatest Common Factor (GCF) of 98,711,695 By Common Division

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

Greatest Common Factor of 98,711,695 By Matching Biggest Common Factor Method

Now, list down the factors of 98

1,2,7,14,49,98

Now, list down the factors of 711

1,3,9,79,237,711

Now, list down the factors of 695

1,5,139,695

Greatest Common Factor

We found the factors 98,711,695 . The biggest common factor number is the GCF number.
So the greatest common factor 98,711,695 is 1.

Lets's calculate LCM of 12,65,271

Lowest Common Multiple of 12,65,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 211380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211380

Therefore, the GCF of Fractions 98/12,711/65,695/271 is 1/211380

Least Common Multiple of 12,65,271 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 12,65,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,65,271) = 1

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

GCF(12,65,271) x common factors =1 x 1 = 1

LCM(12,65,271) = ( 12 × 65 × 271 ) / 1

LCM(12,65,271) = 211380 / 1

LCM(12,65,271) = 211380

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FAQs on GCF of Fractions of 98/12, 711/65, 695/271

1. What is the HCF of 98,711,695?

The HCF of 98,711,695 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 98/12, 711/65, 695/271?

Answer: GCF of Numerators as per given numbers 98/12, 711/65, 695/271 is

GCF of Numerators i.e. for 98,711,695 is 1

LCM of denominators i.e. for 12,65,271 is 211380.

Thus, GCF of Fractions is 1/211380.Finally, GCF of Fractions for 98/12, 711/65, 695/271 is 1/211380.