How to Find GCF of 98/35, 77/11, 786/328?

GCF of 98/35, 77/11, 786/328

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 98/35, 77/11, 786/328 i.e 1/126280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/35, 77/11, 786/328.

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 98/35,77/11,786/328?

Given fractions are 98/35,77/11,786/328

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 98/35,77/11,786/328, numerators are 98,77,786

Denominators are 35,11,328

The GCF of 98,77,786 is 1 .

LCM of 35,11,328 is 126280.

The greatest common factor of 98/35,77/11,786/328 = [GCF of 98,77,786]/[LCM of 35,11,328]= 1/126280

Therefore, the GCF of 98/35,77/11,786/328 is 1/126280.

Greatest Common Factor of 98,77,786

To find the highest common factor of 98,77,786, 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 77 are 1, 7, 11, 77

The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786

The HCF of 98,77,786 is 1.

Lets's calculate GCF of 98,77,786

Greatest Common Factor (GCF) of 98,77,786 By Common Division

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

Greatest Common Factor of 98,77,786 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 77

1,7,11,77

Now, list down the factors of 786

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 98,77,786 . The biggest common factor number is the GCF number.
So the greatest common factor 98,77,786 is 1.

Lets's calculate LCM of 35,11,328

Lowest Common Multiple of 35,11,328 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126280

Therefore, the GCF of Fractions 98/35,77/11,786/328 is 1/126280

Least Common Multiple of 35,11,328 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 35,11,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,11,328) = 1

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

GCF(35,11,328) x common factors =1 x 1 = 1

LCM(35,11,328) = ( 35 × 11 × 328 ) / 1

LCM(35,11,328) = 126280 / 1

LCM(35,11,328) = 126280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 98/35, 77/11, 786/328

1. What is the HCF of 98,77,786?

The HCF of 98,77,786 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 98/35, 77/11, 786/328?

Answer: GCF of Numerators as per given numbers 98/35, 77/11, 786/328 is

GCF of Numerators i.e. for 98,77,786 is 1

LCM of denominators i.e. for 35,11,328 is 126280.

Thus, GCF of Fractions is 1/126280.Finally, GCF of Fractions for 98/35, 77/11, 786/328 is 1/126280.