How to Find GCF of 4117/604, 4255/9683?

GCF of 4117/604, 4255/9683

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 4117/604, 4255/9683 i.e 23/5848532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4117/604, 4255/9683.

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 4117/604,4255/9683?

Given fractions are 4117/604,4255/9683

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 4117/604,4255/9683, numerators are 4117,4255

Denominators are 604,9683

The GCF of 4117,4255 is 23 .

LCM of 604,9683 is 5848532.

The greatest common factor of 4117/604,4255/9683 = [GCF of 4117,4255]/[LCM of 604,9683]= 23/5848532

Therefore, the GCF of 4117/604,4255/9683 is 23/5848532.

Greatest Common Factor of 4117,4255

To find the highest common factor of 4117,4255, we have to find the factors of both numbers and list the highest common factor.

The factors of 4117 are 1, 23, 179, 4117

The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255

The HCF of 4117,4255 is 23.

Lets's calculate GCF of 4117,4255

Greatest Common Factor (GCF) of 4117,4255 By Common Division

23	4117, 4255
	179, 185

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 4117,4255 By Matching Biggest Common Factor Method

Now, list down the factors of 4117

1,23,179,4117

Now, list down the factors of 4255

1,5,23,37,115,185,851,4255

Greatest Common Factor

We found the factors 4117,4255 . The biggest common factor number is the GCF number.
So the greatest common factor 4117,4255 is 23.

Lets's calculate LCM of 604,9683

Lowest Common Multiple of 604,9683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5848532

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/5848532

Therefore, the GCF of Fractions 4117/604,4255/9683 is 23/5848532

Least Common Multiple of 604,9683 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 604,9683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,9683) = 1

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

GCF(604,9683) x common factors =1 x 1 = 1

LCM(604,9683) = ( 604 × 9683 ) / 1

LCM(604,9683) = 5848532 / 1

LCM(604,9683) = 5848532

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FAQs on GCF of Fractions of 4117/604, 4255/9683

1. What is the HCF of 4117,4255?

The HCF of 4117,4255 is 23

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 4117/604, 4255/9683?

Answer: GCF of Numerators as per given numbers 4117/604, 4255/9683 is

GCF of Numerators i.e. for 4117,4255 is 23

LCM of denominators i.e. for 604,9683 is 5848532.

Thus, GCF of Fractions is 23/5848532.Finally, GCF of Fractions for 4117/604, 4255/9683 is 23/5848532.