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GCF of 98/101, 30/5766

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 98/101, 30/5766 i.e 2/582366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/101, 30/5766.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 98/101,30/5766?

Given fractions are 98/101,30/5766

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 98/101,30/5766, numerators are 98,30

Denominators are 101,5766

The GCF of 98,30 is 2 .

LCM of 101,5766 is 582366.

The greatest common factor of 98/101,30/5766 = [GCF of 98,30]/[LCM of 101,5766]= 2/582366

Therefore, the GCF of 98/101,30/5766 is 2/582366.

Greatest Common Factor of 98,30

To find the highest common factor of 98,30, 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 30 are 1, 2, 3, 5, 6, 10, 15, 30

The HCF of 98,30 is 2.

Lets's calculate GCF of 98,30

Greatest Common Factor (GCF) of 98,30 By Common Division

2 98, 30
49, 15

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 98,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,30 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 30

:

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 98,30 . The biggest common factor number is the GCF number.
So the greatest common factor 98,30 is 2.

Lets's calculate LCM of 101,5766

Lowest Common Multiple of 101,5766 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 582366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/582366

Therefore, the GCF of Fractions 98/101,30/5766 is 2/582366

Least Common Multiple of 101,5766 with GCF Formula

Least Common Multiple of 101,5766 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 101,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(101,5766) = 1

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

GCF(101,5766) x common factors =1 x 1 = 1

LCM(101,5766) = ( 101 × 5766 ) / 1

LCM(101,5766) = 582366 / 1

LCM(101,5766) = 582366


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FAQs on GCF of Fractions of 98/101, 30/5766

1. What is the HCF of 98,30?

The HCF of 98,30 is 2

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 98/101, 30/5766?

Answer: GCF of Numerators as per given numbers 98/101, 30/5766 is

GCF of Numerators i.e. for 98,30 is 2

LCM of denominators i.e. for 101,5766 is 582366.

Thus, GCF of Fractions is 2/582366.Finally, GCF of Fractions for 98/101, 30/5766 is 2/582366.