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GCF of 1102/891, 5571/647

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 1102/891, 5571/647 i.e 1/576477 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1102/891, 5571/647.

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 1102/891,5571/647?

Given fractions are 1102/891,5571/647

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 1102/891,5571/647, numerators are 1102,5571

Denominators are 891,647

The GCF of 1102,5571 is 1 .

LCM of 891,647 is 576477.

The greatest common factor of 1102/891,5571/647 = [GCF of 1102,5571]/[LCM of 891,647]= 1/576477

Therefore, the GCF of 1102/891,5571/647 is 1/576477.

Greatest Common Factor of 1102,5571

To find the highest common factor of 1102,5571, we have to find the factors of both numbers and list the highest common factor.

The factors of 1102 are 1, 2, 19, 29, 38, 58, 551, 1102

The factors of 5571 are 1, 3, 9, 619, 1857, 5571

The HCF of 1102,5571 is 1.

Lets's calculate GCF of 1102,5571

Greatest Common Factor (GCF) of 1102,5571 By Common Division

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

Greatest Common Factor of 1102,5571 By Matching Biggest Common Factor Method

Greatest Common Factor of 1102,5571 By Matching Biggest Common Factor Method

Now, list down the factors of 1102

:

1,2,19,29,38,58,551,1102

Now, list down the factors of 5571

:

1,3,9,619,1857,5571

Greatest Common Factor

We found the factors 1102,5571 . The biggest common factor number is the GCF number.
So the greatest common factor 1102,5571 is 1.


Lets's calculate LCM of 891,647

Lowest Common Multiple of 891,647 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 576477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/576477

Therefore, the GCF of Fractions 1102/891,5571/647 is 1/576477

Least Common Multiple of 891,647 with GCF Formula

Least Common Multiple of 891,647 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 891,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(891,647) = 1

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

GCF(891,647) x common factors =1 x 1 = 1

LCM(891,647) = ( 891 × 647 ) / 1

LCM(891,647) = 576477 / 1

LCM(891,647) = 576477


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1102/891, 5571/647

1. What is the HCF of 1102,5571?

The HCF of 1102,5571 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 1102/891, 5571/647?

Answer: GCF of Numerators as per given numbers 1102/891, 5571/647 is

GCF of Numerators i.e. for 1102,5571 is 1

LCM of denominators i.e. for 891,647 is 576477.

Thus, GCF of Fractions is 1/576477.Finally, GCF of Fractions for 1102/891, 5571/647 is 1/576477.