How to Find GCF of 62/258, 4495/1655?

GCF of 62/258, 4495/1655

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 62/258, 4495/1655 i.e 31/426990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/258, 4495/1655.

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 62/258,4495/1655?

Given fractions are 62/258,4495/1655

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 62/258,4495/1655, numerators are 62,4495

Denominators are 258,1655

The GCF of 62,4495 is 31 .

LCM of 258,1655 is 426990.

The greatest common factor of 62/258,4495/1655 = [GCF of 62,4495]/[LCM of 258,1655]= 31/426990

Therefore, the GCF of 62/258,4495/1655 is 31/426990.

Greatest Common Factor of 62,4495

To find the highest common factor of 62,4495, we have to find the factors of both numbers and list the highest common factor.

The factors of 62 are 1, 2, 31, 62

The factors of 4495 are 1, 5, 29, 31, 145, 155, 899, 4495

The HCF of 62,4495 is 31.

Lets's calculate GCF of 62,4495

Greatest Common Factor (GCF) of 62,4495 By Common Division

31	62, 4495
	2, 145

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 62,4495 By Matching Biggest Common Factor Method

Now, list down the factors of 62

1,2,31,62

Now, list down the factors of 4495

1,5,29,31,145,155,899,4495

Greatest Common Factor

We found the factors 62,4495 . The biggest common factor number is the GCF number.
So the greatest common factor 62,4495 is 31.

Lets's calculate LCM of 258,1655

Lowest Common Multiple of 258,1655 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 426990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/426990

Therefore, the GCF of Fractions 62/258,4495/1655 is 31/426990

Least Common Multiple of 258,1655 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 258,1655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,1655) = 1

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

GCF(258,1655) x common factors =1 x 1 = 1

LCM(258,1655) = ( 258 × 1655 ) / 1

LCM(258,1655) = 426990 / 1

LCM(258,1655) = 426990

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FAQs on GCF of Fractions of 62/258, 4495/1655

1. What is the HCF of 62,4495?

The HCF of 62,4495 is 31

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 62/258, 4495/1655?

Answer: GCF of Numerators as per given numbers 62/258, 4495/1655 is

GCF of Numerators i.e. for 62,4495 is 31

LCM of denominators i.e. for 258,1655 is 426990.

Thus, GCF of Fractions is 31/426990.Finally, GCF of Fractions for 62/258, 4495/1655 is 31/426990.