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GCF of 8457/953, 5503/645

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 8457/953, 5503/645 i.e 1/614685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8457/953, 5503/645.

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 8457/953,5503/645?

Given fractions are 8457/953,5503/645

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 8457/953,5503/645, numerators are 8457,5503

Denominators are 953,645

The GCF of 8457,5503 is 1 .

LCM of 953,645 is 614685.

The greatest common factor of 8457/953,5503/645 = [GCF of 8457,5503]/[LCM of 953,645]= 1/614685

Therefore, the GCF of 8457/953,5503/645 is 1/614685.

Greatest Common Factor of 8457,5503

To find the highest common factor of 8457,5503, we have to find the factors of both numbers and list the highest common factor.

The factors of 8457 are 1, 3, 2819, 8457

The factors of 5503 are 1, 5503

The HCF of 8457,5503 is 1.

Lets's calculate GCF of 8457,5503

Greatest Common Factor (GCF) of 8457,5503 By Common Division

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

Greatest Common Factor of 8457,5503 By Matching Biggest Common Factor Method

Greatest Common Factor of 8457,5503 By Matching Biggest Common Factor Method

Now, list down the factors of 8457

:

1,3,2819,8457

Now, list down the factors of 5503

:

1,5503

Greatest Common Factor

We found the factors 8457,5503 . The biggest common factor number is the GCF number.
So the greatest common factor 8457,5503 is 1.

Lets's calculate LCM of 953,645

Lowest Common Multiple of 953,645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 614685

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/614685

Therefore, the GCF of Fractions 8457/953,5503/645 is 1/614685

Least Common Multiple of 953,645 with GCF Formula

Least Common Multiple of 953,645 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 953,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(953,645) = 1

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

GCF(953,645) x common factors =1 x 1 = 1

LCM(953,645) = ( 953 × 645 ) / 1

LCM(953,645) = 614685 / 1

LCM(953,645) = 614685


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FAQs on GCF of Fractions of 8457/953, 5503/645

1. What is the HCF of 8457,5503?

The HCF of 8457,5503 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 8457/953, 5503/645?

Answer: GCF of Numerators as per given numbers 8457/953, 5503/645 is

GCF of Numerators i.e. for 8457,5503 is 1

LCM of denominators i.e. for 953,645 is 614685.

Thus, GCF of Fractions is 1/614685.Finally, GCF of Fractions for 8457/953, 5503/645 is 1/614685.