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GCF of 930/55, 341/117

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 930/55, 341/117 i.e 31/6435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 930/55, 341/117.

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 930/55,341/117?

Given fractions are 930/55,341/117

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 930/55,341/117, numerators are 930,341

Denominators are 55,117

The GCF of 930,341 is 31 .

LCM of 55,117 is 6435.

The greatest common factor of 930/55,341/117 = [GCF of 930,341]/[LCM of 55,117]= 31/6435

Therefore, the GCF of 930/55,341/117 is 31/6435.

Greatest Common Factor of 930,341

To find the highest common factor of 930,341, we have to find the factors of both numbers and list the highest common factor.

The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

The factors of 341 are 1, 11, 31, 341

The HCF of 930,341 is 31.

Lets's calculate GCF of 930,341

Greatest Common Factor (GCF) of 930,341 By Common Division

31 930, 341
30, 11

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 930,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,341 By Matching Biggest Common Factor Method

Now, list down the factors of 930

:

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Now, list down the factors of 341

:

1,11,31,341

Greatest Common Factor

We found the factors 930,341 . The biggest common factor number is the GCF number.
So the greatest common factor 930,341 is 31.


Lets's calculate LCM of 55,117

Lowest Common Multiple of 55,117 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/6435

Therefore, the GCF of Fractions 930/55,341/117 is 31/6435

Least Common Multiple of 55,117 with GCF Formula

Least Common Multiple of 55,117 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 55,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,117) = 1

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

GCF(55,117) x common factors =1 x 1 = 1

LCM(55,117) = ( 55 × 117 ) / 1

LCM(55,117) = 6435 / 1

LCM(55,117) = 6435


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 930/55, 341/117

1. What is the HCF of 930,341?

The HCF of 930,341 is 31

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 930/55, 341/117?

Answer: GCF of Numerators as per given numbers 930/55, 341/117 is

GCF of Numerators i.e. for 930,341 is 31

LCM of denominators i.e. for 55,117 is 6435.

Thus, GCF of Fractions is 31/6435.Finally, GCF of Fractions for 930/55, 341/117 is 31/6435.