How to Find GCF of 4564/148, 3011/8712?

GCF of 4564/148, 3011/8712

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 4564/148, 3011/8712 i.e 1/322344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4564/148, 3011/8712.

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 4564/148,3011/8712?

Given fractions are 4564/148,3011/8712

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 4564/148,3011/8712, numerators are 4564,3011

Denominators are 148,8712

The GCF of 4564,3011 is 1 .

LCM of 148,8712 is 322344.

The greatest common factor of 4564/148,3011/8712 = [GCF of 4564,3011]/[LCM of 148,8712]= 1/322344

Therefore, the GCF of 4564/148,3011/8712 is 1/322344.

Greatest Common Factor of 4564,3011

To find the highest common factor of 4564,3011, we have to find the factors of both numbers and list the highest common factor.

The factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564

The factors of 3011 are 1, 3011

The HCF of 4564,3011 is 1.

Lets's calculate GCF of 4564,3011

Greatest Common Factor (GCF) of 4564,3011 By Common Division

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

Greatest Common Factor of 4564,3011 By Matching Biggest Common Factor Method

Now, list down the factors of 4564

1,2,4,7,14,28,163,326,652,1141,2282,4564

Now, list down the factors of 3011

1,3011

Greatest Common Factor

We found the factors 4564,3011 . The biggest common factor number is the GCF number.
So the greatest common factor 4564,3011 is 1.

Lets's calculate LCM of 148,8712

Lowest Common Multiple of 148,8712 using Common Division

2	148, 8712
2	74, 4356
	37, 2178

∴ So the LCM of the given numbers is 2 x 2 x 37 x 2178 = 322344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322344

Therefore, the GCF of Fractions 4564/148,3011/8712 is 1/322344

Least Common Multiple of 148,8712 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 148,8712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,8712) = 4

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

GCF(148,8712) x common factors =4 x 1 = 4

LCM(148,8712) = ( 148 × 8712 ) / 4

LCM(148,8712) = 1289376 / 4

LCM(148,8712) = 322344

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FAQs on GCF of Fractions of 4564/148, 3011/8712

1. What is the HCF of 4564,3011?

The HCF of 4564,3011 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 4564/148, 3011/8712?

Answer: GCF of Numerators as per given numbers 4564/148, 3011/8712 is

GCF of Numerators i.e. for 4564,3011 is 1

LCM of denominators i.e. for 148,8712 is 322344.

Thus, GCF of Fractions is 1/322344.Finally, GCF of Fractions for 4564/148, 3011/8712 is 1/322344.