How to Find GCF of 7555/662, 9901/5629?

GCF of 7555/662, 9901/5629

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 7555/662, 9901/5629 i.e 1/3726398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7555/662, 9901/5629.

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 7555/662,9901/5629?

Given fractions are 7555/662,9901/5629

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 7555/662,9901/5629, numerators are 7555,9901

Denominators are 662,5629

The GCF of 7555,9901 is 1 .

LCM of 662,5629 is 3726398.

The greatest common factor of 7555/662,9901/5629 = [GCF of 7555,9901]/[LCM of 662,5629]= 1/3726398

Therefore, the GCF of 7555/662,9901/5629 is 1/3726398.

Greatest Common Factor of 7555,9901

To find the highest common factor of 7555,9901, we have to find the factors of both numbers and list the highest common factor.

The factors of 7555 are 1, 5, 1511, 7555

The factors of 9901 are 1, 9901

The HCF of 7555,9901 is 1.

Lets's calculate GCF of 7555,9901

Greatest Common Factor (GCF) of 7555,9901 By Common Division

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

Greatest Common Factor of 7555,9901 By Matching Biggest Common Factor Method

Now, list down the factors of 7555

1,5,1511,7555

Now, list down the factors of 9901

1,9901

Greatest Common Factor

We found the factors 7555,9901 . The biggest common factor number is the GCF number.
So the greatest common factor 7555,9901 is 1.

Lets's calculate LCM of 662,5629

Lowest Common Multiple of 662,5629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3726398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3726398

Therefore, the GCF of Fractions 7555/662,9901/5629 is 1/3726398

Least Common Multiple of 662,5629 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 662,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,5629) = 1

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

GCF(662,5629) x common factors =1 x 1 = 1

LCM(662,5629) = ( 662 × 5629 ) / 1

LCM(662,5629) = 3726398 / 1

LCM(662,5629) = 3726398

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FAQs on GCF of Fractions of 7555/662, 9901/5629

1. What is the HCF of 7555,9901?

The HCF of 7555,9901 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 7555/662, 9901/5629?

Answer: GCF of Numerators as per given numbers 7555/662, 9901/5629 is

GCF of Numerators i.e. for 7555,9901 is 1

LCM of denominators i.e. for 662,5629 is 3726398.

Thus, GCF of Fractions is 1/3726398.Finally, GCF of Fractions for 7555/662, 9901/5629 is 1/3726398.