How to Find GCF of 635/623, 144/661?

GCF of 635/623, 144/661

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 635/623, 144/661 i.e 1/411803 easily. The following is the detailed procedure to determine the greatest common factor of fractions 635/623, 144/661.

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 635/623,144/661?

Given fractions are 635/623,144/661

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 635/623,144/661, numerators are 635,144

Denominators are 623,661

The GCF of 635,144 is 1 .

LCM of 623,661 is 411803.

The greatest common factor of 635/623,144/661 = [GCF of 635,144]/[LCM of 623,661]= 1/411803

Therefore, the GCF of 635/623,144/661 is 1/411803.

Greatest Common Factor of 635,144

To find the highest common factor of 635,144, we have to find the factors of both numbers and list the highest common factor.

The factors of 635 are 1, 5, 127, 635

The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

The HCF of 635,144 is 1.

Lets's calculate GCF of 635,144

Greatest Common Factor (GCF) of 635,144 By Common Division

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

Greatest Common Factor of 635,144 By Matching Biggest Common Factor Method

Now, list down the factors of 635

1,5,127,635

Now, list down the factors of 144

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 635,144 . The biggest common factor number is the GCF number.
So the greatest common factor 635,144 is 1.

Lets's calculate LCM of 623,661

Lowest Common Multiple of 623,661 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 411803

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/411803

Therefore, the GCF of Fractions 635/623,144/661 is 1/411803

Least Common Multiple of 623,661 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 623,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,661) = 1

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

GCF(623,661) x common factors =1 x 1 = 1

LCM(623,661) = ( 623 × 661 ) / 1

LCM(623,661) = 411803 / 1

LCM(623,661) = 411803

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FAQs on GCF of Fractions of 635/623, 144/661

1. What is the HCF of 635,144?

The HCF of 635,144 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 635/623, 144/661?

Answer: GCF of Numerators as per given numbers 635/623, 144/661 is

GCF of Numerators i.e. for 635,144 is 1

LCM of denominators i.e. for 623,661 is 411803.

Thus, GCF of Fractions is 1/411803.Finally, GCF of Fractions for 635/623, 144/661 is 1/411803.