How to Find GCF of 4546/607, 2953/6651?

GCF of 4546/607, 2953/6651

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 4546/607, 2953/6651 i.e 1/4037157 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4546/607, 2953/6651.

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 4546/607,2953/6651?

Given fractions are 4546/607,2953/6651

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 4546/607,2953/6651, numerators are 4546,2953

Denominators are 607,6651

The GCF of 4546,2953 is 1 .

LCM of 607,6651 is 4037157.

The greatest common factor of 4546/607,2953/6651 = [GCF of 4546,2953]/[LCM of 607,6651]= 1/4037157

Therefore, the GCF of 4546/607,2953/6651 is 1/4037157.

Greatest Common Factor of 4546,2953

To find the highest common factor of 4546,2953, we have to find the factors of both numbers and list the highest common factor.

The factors of 4546 are 1, 2, 2273, 4546

The factors of 2953 are 1, 2953

The HCF of 4546,2953 is 1.

Lets's calculate GCF of 4546,2953

Greatest Common Factor (GCF) of 4546,2953 By Common Division

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

Greatest Common Factor of 4546,2953 By Matching Biggest Common Factor Method

Now, list down the factors of 4546

1,2,2273,4546

Now, list down the factors of 2953

1,2953

Greatest Common Factor

We found the factors 4546,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 4546,2953 is 1.

Lets's calculate LCM of 607,6651

Lowest Common Multiple of 607,6651 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4037157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4037157

Therefore, the GCF of Fractions 4546/607,2953/6651 is 1/4037157

Least Common Multiple of 607,6651 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 607,6651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(607,6651) = 1

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

GCF(607,6651) x common factors =1 x 1 = 1

LCM(607,6651) = ( 607 × 6651 ) / 1

LCM(607,6651) = 4037157 / 1

LCM(607,6651) = 4037157

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FAQs on GCF of Fractions of 4546/607, 2953/6651

1. What is the HCF of 4546,2953?

The HCF of 4546,2953 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 4546/607, 2953/6651?

Answer: GCF of Numerators as per given numbers 4546/607, 2953/6651 is

GCF of Numerators i.e. for 4546,2953 is 1

LCM of denominators i.e. for 607,6651 is 4037157.

Thus, GCF of Fractions is 1/4037157.Finally, GCF of Fractions for 4546/607, 2953/6651 is 1/4037157.