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GCF of 255/88, 969/3417

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 255/88, 969/3417 i.e 51/300696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/88, 969/3417.

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 255/88,969/3417?

Given fractions are 255/88,969/3417

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 255/88,969/3417, numerators are 255,969

Denominators are 88,3417

The GCF of 255,969 is 51 .

LCM of 88,3417 is 300696.

The greatest common factor of 255/88,969/3417 = [GCF of 255,969]/[LCM of 88,3417]= 51/300696

Therefore, the GCF of 255/88,969/3417 is 51/300696.

Greatest Common Factor of 255,969

To find the highest common factor of 255,969, we have to find the factors of both numbers and list the highest common factor.

The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255

The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969

The HCF of 255,969 is 51.

Lets's calculate GCF of 255,969

Greatest Common Factor (GCF) of 255,969 By Common Division

3 255, 969
17 85, 323
5, 19

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 255,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,969 By Matching Biggest Common Factor Method

Now, list down the factors of 255

:

1,3,5,15,17,51,85,255

Now, list down the factors of 969

:

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 255,969 . The biggest common factor number is the GCF number.
So the greatest common factor 255,969 is 51.

Lets's calculate LCM of 88,3417

Lowest Common Multiple of 88,3417 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 300696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/300696

Therefore, the GCF of Fractions 255/88,969/3417 is 51/300696

Least Common Multiple of 88,3417 with GCF Formula

Least Common Multiple of 88,3417 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 88,3417 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,3417) = 1

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

GCF(88,3417) x common factors =1 x 1 = 1

LCM(88,3417) = ( 88 × 3417 ) / 1

LCM(88,3417) = 300696 / 1

LCM(88,3417) = 300696


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FAQs on GCF of Fractions of 255/88, 969/3417

1. What is the HCF of 255,969?

The HCF of 255,969 is 51

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 255/88, 969/3417?

Answer: GCF of Numerators as per given numbers 255/88, 969/3417 is

GCF of Numerators i.e. for 255,969 is 51

LCM of denominators i.e. for 88,3417 is 300696.

Thus, GCF of Fractions is 51/300696.Finally, GCF of Fractions for 255/88, 969/3417 is 51/300696.