How to Find GCF of 98/77, 709/89, 508/628?

GCF of 98/77, 709/89, 508/628

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 98/77, 709/89, 508/628 i.e 1/4303684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/77, 709/89, 508/628.

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 98/77,709/89,508/628?

Given fractions are 98/77,709/89,508/628

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 98/77,709/89,508/628, numerators are 98,709,508

Denominators are 77,89,628

The GCF of 98,709,508 is 1 .

LCM of 77,89,628 is 4303684.

The greatest common factor of 98/77,709/89,508/628 = [GCF of 98,709,508]/[LCM of 77,89,628]= 1/4303684

Therefore, the GCF of 98/77,709/89,508/628 is 1/4303684.

Greatest Common Factor of 98,709,508

To find the highest common factor of 98,709,508, 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 709 are 1, 709

The factors of 508 are 1, 2, 4, 127, 254, 508

The HCF of 98,709,508 is 1.

Lets's calculate GCF of 98,709,508

Greatest Common Factor (GCF) of 98,709,508 By Common Division

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

Greatest Common Factor of 98,709,508 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 709

1,709

Now, list down the factors of 508

1,2,4,127,254,508

Greatest Common Factor

We found the factors 98,709,508 . The biggest common factor number is the GCF number.
So the greatest common factor 98,709,508 is 1.

Lets's calculate LCM of 77,89,628

Lowest Common Multiple of 77,89,628 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4303684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4303684

Therefore, the GCF of Fractions 98/77,709/89,508/628 is 1/4303684

Least Common Multiple of 77,89,628 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 77,89,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,89,628) = 1

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

GCF(77,89,628) x common factors =1 x 1 = 1

LCM(77,89,628) = ( 77 × 89 × 628 ) / 1

LCM(77,89,628) = 4303684 / 1

LCM(77,89,628) = 4303684

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FAQs on GCF of Fractions of 98/77, 709/89, 508/628

1. What is the HCF of 98,709,508?

The HCF of 98,709,508 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 98/77, 709/89, 508/628?

Answer: GCF of Numerators as per given numbers 98/77, 709/89, 508/628 is

GCF of Numerators i.e. for 98,709,508 is 1

LCM of denominators i.e. for 77,89,628 is 4303684.

Thus, GCF of Fractions is 1/4303684.Finally, GCF of Fractions for 98/77, 709/89, 508/628 is 1/4303684.