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GCF of 944/46, 688/149

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 944/46, 688/149 i.e 16/6854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 944/46, 688/149.

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 944/46,688/149?

Given fractions are 944/46,688/149

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 944/46,688/149, numerators are 944,688

Denominators are 46,149

The GCF of 944,688 is 16 .

LCM of 46,149 is 6854.

The greatest common factor of 944/46,688/149 = [GCF of 944,688]/[LCM of 46,149]= 16/6854

Therefore, the GCF of 944/46,688/149 is 16/6854.

Greatest Common Factor of 944,688

To find the highest common factor of 944,688, we have to find the factors of both numbers and list the highest common factor.

The factors of 944 are 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

The HCF of 944,688 is 16.

Lets's calculate GCF of 944,688

Greatest Common Factor (GCF) of 944,688 By Common Division

2 944, 688
2 472, 344
2 236, 172
2 118, 86
59, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 944,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,688 By Matching Biggest Common Factor Method

Now, list down the factors of 944

:

1,2,4,8,16,59,118,236,472,944

Now, list down the factors of 688

:

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 944,688 . The biggest common factor number is the GCF number.
So the greatest common factor 944,688 is 16.

Lets's calculate LCM of 46,149

Lowest Common Multiple of 46,149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/6854

Therefore, the GCF of Fractions 944/46,688/149 is 16/6854

Least Common Multiple of 46,149 with GCF Formula

Least Common Multiple of 46,149 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 46,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,149) = 1

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

GCF(46,149) x common factors =1 x 1 = 1

LCM(46,149) = ( 46 × 149 ) / 1

LCM(46,149) = 6854 / 1

LCM(46,149) = 6854


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FAQs on GCF of Fractions of 944/46, 688/149

1. What is the HCF of 944,688?

The HCF of 944,688 is 16

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 944/46, 688/149?

Answer: GCF of Numerators as per given numbers 944/46, 688/149 is

GCF of Numerators i.e. for 944,688 is 16

LCM of denominators i.e. for 46,149 is 6854.

Thus, GCF of Fractions is 16/6854.Finally, GCF of Fractions for 944/46, 688/149 is 16/6854.