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GCF of 332/59, 120/827

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 332/59, 120/827 i.e 4/48793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 332/59, 120/827.

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 332/59,120/827?

Given fractions are 332/59,120/827

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 332/59,120/827, numerators are 332,120

Denominators are 59,827

The GCF of 332,120 is 4 .

LCM of 59,827 is 48793.

The greatest common factor of 332/59,120/827 = [GCF of 332,120]/[LCM of 59,827]= 4/48793

Therefore, the GCF of 332/59,120/827 is 4/48793.

Greatest Common Factor of 332,120

To find the highest common factor of 332,120, we have to find the factors of both numbers and list the highest common factor.

The factors of 332 are 1, 2, 4, 83, 166, 332

The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

The HCF of 332,120 is 4.

Lets's calculate GCF of 332,120

Greatest Common Factor (GCF) of 332,120 By Common Division

2 332, 120
2 166, 60
83, 30

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 332,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 332,120 By Matching Biggest Common Factor Method

Now, list down the factors of 332

:

1,2,4,83,166,332

Now, list down the factors of 120

:

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 332,120 . The biggest common factor number is the GCF number.
So the greatest common factor 332,120 is 4.

Lets's calculate LCM of 59,827

Lowest Common Multiple of 59,827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48793

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/48793

Therefore, the GCF of Fractions 332/59,120/827 is 4/48793

Least Common Multiple of 59,827 with GCF Formula

Least Common Multiple of 59,827 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 59,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,827) = 1

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

GCF(59,827) x common factors =1 x 1 = 1

LCM(59,827) = ( 59 × 827 ) / 1

LCM(59,827) = 48793 / 1

LCM(59,827) = 48793


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FAQs on GCF of Fractions of 332/59, 120/827

1. What is the HCF of 332,120?

The HCF of 332,120 is 4

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 332/59, 120/827?

Answer: GCF of Numerators as per given numbers 332/59, 120/827 is

GCF of Numerators i.e. for 332,120 is 4

LCM of denominators i.e. for 59,827 is 48793.

Thus, GCF of Fractions is 4/48793.Finally, GCF of Fractions for 332/59, 120/827 is 4/48793.