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GCF of 102/698, 6445/9291

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 102/698, 6445/9291 i.e 1/6485118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 102/698, 6445/9291.

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 102/698,6445/9291?

Given fractions are 102/698,6445/9291

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 102/698,6445/9291, numerators are 102,6445

Denominators are 698,9291

The GCF of 102,6445 is 1 .

LCM of 698,9291 is 6485118.

The greatest common factor of 102/698,6445/9291 = [GCF of 102,6445]/[LCM of 698,9291]= 1/6485118

Therefore, the GCF of 102/698,6445/9291 is 1/6485118.

Greatest Common Factor of 102,6445

To find the highest common factor of 102,6445, we have to find the factors of both numbers and list the highest common factor.

The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102

The factors of 6445 are 1, 5, 1289, 6445

The HCF of 102,6445 is 1.

Lets's calculate GCF of 102,6445

Greatest Common Factor (GCF) of 102,6445 By Common Division

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

Greatest Common Factor of 102,6445 By Matching Biggest Common Factor Method

Greatest Common Factor of 102,6445 By Matching Biggest Common Factor Method

Now, list down the factors of 102

:

1,2,3,6,17,34,51,102

Now, list down the factors of 6445

:

1,5,1289,6445

Greatest Common Factor

We found the factors 102,6445 . The biggest common factor number is the GCF number.
So the greatest common factor 102,6445 is 1.


Lets's calculate LCM of 698,9291

Lowest Common Multiple of 698,9291 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6485118

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6485118

Therefore, the GCF of Fractions 102/698,6445/9291 is 1/6485118

Least Common Multiple of 698,9291 with GCF Formula

Least Common Multiple of 698,9291 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 698,9291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,9291) = 1

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

GCF(698,9291) x common factors =1 x 1 = 1

LCM(698,9291) = ( 698 × 9291 ) / 1

LCM(698,9291) = 6485118 / 1

LCM(698,9291) = 6485118


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 102/698, 6445/9291

1. What is the HCF of 102,6445?

The HCF of 102,6445 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 102/698, 6445/9291?

Answer: GCF of Numerators as per given numbers 102/698, 6445/9291 is

GCF of Numerators i.e. for 102,6445 is 1

LCM of denominators i.e. for 698,9291 is 6485118.

Thus, GCF of Fractions is 1/6485118.Finally, GCF of Fractions for 102/698, 6445/9291 is 1/6485118.