How to Find GCF of 416/941, 117/559?

GCF of 416/941, 117/559

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 416/941, 117/559 i.e 13/526019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/941, 117/559.

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 416/941,117/559?

Given fractions are 416/941,117/559

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 416/941,117/559, numerators are 416,117

Denominators are 941,559

The GCF of 416,117 is 13 .

LCM of 941,559 is 526019.

The greatest common factor of 416/941,117/559 = [GCF of 416,117]/[LCM of 941,559]= 13/526019

Therefore, the GCF of 416/941,117/559 is 13/526019.

Greatest Common Factor of 416,117

To find the highest common factor of 416,117, we have to find the factors of both numbers and list the highest common factor.

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The factors of 117 are 1, 3, 9, 13, 39, 117

The HCF of 416,117 is 13.

Lets's calculate GCF of 416,117

Greatest Common Factor (GCF) of 416,117 By Common Division

13	416, 117
	32, 9

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 416,117 By Matching Biggest Common Factor Method

Now, list down the factors of 416

1,2,4,8,13,16,26,32,52,104,208,416

Now, list down the factors of 117

1,3,9,13,39,117

Greatest Common Factor

We found the factors 416,117 . The biggest common factor number is the GCF number.
So the greatest common factor 416,117 is 13.

Lets's calculate LCM of 941,559

Lowest Common Multiple of 941,559 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 526019

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/526019

Therefore, the GCF of Fractions 416/941,117/559 is 13/526019

Least Common Multiple of 941,559 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 941,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(941,559) = 1

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

GCF(941,559) x common factors =1 x 1 = 1

LCM(941,559) = ( 941 × 559 ) / 1

LCM(941,559) = 526019 / 1

LCM(941,559) = 526019

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FAQs on GCF of Fractions of 416/941, 117/559

1. What is the HCF of 416,117?

The HCF of 416,117 is 13

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 416/941, 117/559?

Answer: GCF of Numerators as per given numbers 416/941, 117/559 is

GCF of Numerators i.e. for 416,117 is 13

LCM of denominators i.e. for 941,559 is 526019.

Thus, GCF of Fractions is 13/526019.Finally, GCF of Fractions for 416/941, 117/559 is 13/526019.