How to Find GCF of 4567/238, 1614/1256?

GCF of 4567/238, 1614/1256

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 4567/238, 1614/1256 i.e 1/149464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4567/238, 1614/1256.

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 4567/238,1614/1256?

Given fractions are 4567/238,1614/1256

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 4567/238,1614/1256, numerators are 4567,1614

Denominators are 238,1256

The GCF of 4567,1614 is 1 .

LCM of 238,1256 is 149464.

The greatest common factor of 4567/238,1614/1256 = [GCF of 4567,1614]/[LCM of 238,1256]= 1/149464

Therefore, the GCF of 4567/238,1614/1256 is 1/149464.

Greatest Common Factor of 4567,1614

To find the highest common factor of 4567,1614, we have to find the factors of both numbers and list the highest common factor.

The factors of 4567 are 1, 4567

The factors of 1614 are 1, 2, 3, 6, 269, 538, 807, 1614

The HCF of 4567,1614 is 1.

Lets's calculate GCF of 4567,1614

Greatest Common Factor (GCF) of 4567,1614 By Common Division

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

Greatest Common Factor of 4567,1614 By Matching Biggest Common Factor Method

Now, list down the factors of 4567

1,4567

Now, list down the factors of 1614

1,2,3,6,269,538,807,1614

Greatest Common Factor

We found the factors 4567,1614 . The biggest common factor number is the GCF number.
So the greatest common factor 4567,1614 is 1.

Lets's calculate LCM of 238,1256

Lowest Common Multiple of 238,1256 using Common Division

2	238, 1256
	119, 628

∴ So the LCM of the given numbers is 2 x 119 x 628 = 149464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/149464

Therefore, the GCF of Fractions 4567/238,1614/1256 is 1/149464

Least Common Multiple of 238,1256 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 238,1256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,1256) = 2

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

GCF(238,1256) x common factors =2 x 1 = 2

LCM(238,1256) = ( 238 × 1256 ) / 2

LCM(238,1256) = 298928 / 2

LCM(238,1256) = 149464

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FAQs on GCF of Fractions of 4567/238, 1614/1256

1. What is the HCF of 4567,1614?

The HCF of 4567,1614 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 4567/238, 1614/1256?

Answer: GCF of Numerators as per given numbers 4567/238, 1614/1256 is

GCF of Numerators i.e. for 4567,1614 is 1

LCM of denominators i.e. for 238,1256 is 149464.

Thus, GCF of Fractions is 1/149464.Finally, GCF of Fractions for 4567/238, 1614/1256 is 1/149464.