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GCF of 1867/954, 3614/5342

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 1867/954, 3614/5342 i.e 1/2548134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1867/954, 3614/5342.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 1867/954,3614/5342?

Given fractions are 1867/954,3614/5342

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 1867/954,3614/5342, numerators are 1867,3614

Denominators are 954,5342

The GCF of 1867,3614 is 1 .

LCM of 954,5342 is 2548134.

The greatest common factor of 1867/954,3614/5342 = [GCF of 1867,3614]/[LCM of 954,5342]= 1/2548134

Therefore, the GCF of 1867/954,3614/5342 is 1/2548134.

Greatest Common Factor of 1867,3614

To find the highest common factor of 1867,3614, we have to find the factors of both numbers and list the highest common factor.

The factors of 1867 are 1, 1867

The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614

The HCF of 1867,3614 is 1.

Lets's calculate GCF of 1867,3614

Greatest Common Factor (GCF) of 1867,3614 By Common Division

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

Greatest Common Factor of 1867,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 1867,3614 By Matching Biggest Common Factor Method

Now, list down the factors of 1867

:

1,1867

Now, list down the factors of 3614

:

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 1867,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 1867,3614 is 1.


Lets's calculate LCM of 954,5342

Lowest Common Multiple of 954,5342 using Common Division

2 954, 5342
477, 2671

∴ So the LCM of the given numbers is 2 x 477 x 2671 = 2548134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2548134

Therefore, the GCF of Fractions 1867/954,3614/5342 is 1/2548134

Least Common Multiple of 954,5342 with GCF Formula

Least Common Multiple of 954,5342 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 954,5342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,5342) = 2

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

GCF(954,5342) x common factors =2 x 1 = 2

LCM(954,5342) = ( 954 × 5342 ) / 2

LCM(954,5342) = 5096268 / 2

LCM(954,5342) = 2548134


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1867/954, 3614/5342

1. What is the HCF of 1867,3614?

The HCF of 1867,3614 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 1867/954, 3614/5342?

Answer: GCF of Numerators as per given numbers 1867/954, 3614/5342 is

GCF of Numerators i.e. for 1867,3614 is 1

LCM of denominators i.e. for 954,5342 is 2548134.

Thus, GCF of Fractions is 1/2548134.Finally, GCF of Fractions for 1867/954, 3614/5342 is 1/2548134.