How to Find GCF of 67/336, 725/370, 937/712?

GCF of 67/336, 725/370, 937/712

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 67/336, 725/370, 937/712 i.e 1/5532240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/336, 725/370, 937/712.

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 67/336,725/370,937/712?

Given fractions are 67/336,725/370,937/712

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 67/336,725/370,937/712, numerators are 67,725,937

Denominators are 336,370,712

The GCF of 67,725,937 is 1 .

LCM of 336,370,712 is 5532240.

The greatest common factor of 67/336,725/370,937/712 = [GCF of 67,725,937]/[LCM of 336,370,712]= 1/5532240

Therefore, the GCF of 67/336,725/370,937/712 is 1/5532240.

Greatest Common Factor of 67,725,937

To find the highest common factor of 67,725,937, we have to find the factors of both numbers and list the highest common factor.

The factors of 67 are 1, 67

The factors of 725 are 1, 5, 25, 29, 145, 725

The factors of 937 are 1, 937

The HCF of 67,725,937 is 1.

Lets's calculate GCF of 67,725,937

Greatest Common Factor (GCF) of 67,725,937 By Common Division

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

Greatest Common Factor of 67,725,937 By Matching Biggest Common Factor Method

Now, list down the factors of 67

1,67

Now, list down the factors of 725

1,5,25,29,145,725

Now, list down the factors of 937

1,937

Greatest Common Factor

We found the factors 67,725,937 . The biggest common factor number is the GCF number.
So the greatest common factor 67,725,937 is 1.

Lets's calculate LCM of 336,370,712

Lowest Common Multiple of 336,370,712 using Common Division

2	336, 370, 712
2	168, 185, 356
2	84, 185, 178
	42, 185, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 42 x 185 x 89 = 5532240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5532240

Therefore, the GCF of Fractions 67/336,725/370,937/712 is 1/5532240

Least Common Multiple of 336,370,712 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 336,370,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,370,712) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(336,370,712) x common factors =2 x 8 = 16

LCM(336,370,712) = ( 336 × 370 × 712 ) / 16

LCM(336,370,712) = 88515840 / 16

LCM(336,370,712) = 5532240

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 67/336, 725/370, 937/712

1. What is the HCF of 67,725,937?

The HCF of 67,725,937 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 67/336, 725/370, 937/712?

Answer: GCF of Numerators as per given numbers 67/336, 725/370, 937/712 is

GCF of Numerators i.e. for 67,725,937 is 1

LCM of denominators i.e. for 336,370,712 is 5532240.

Thus, GCF of Fractions is 1/5532240.Finally, GCF of Fractions for 67/336, 725/370, 937/712 is 1/5532240.