How to Find GCF of 85/472, 4208/2617?

GCF of 85/472, 4208/2617

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 85/472, 4208/2617 i.e 1/1235224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/472, 4208/2617.

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 85/472,4208/2617?

Given fractions are 85/472,4208/2617

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 85/472,4208/2617, numerators are 85,4208

Denominators are 472,2617

The GCF of 85,4208 is 1 .

LCM of 472,2617 is 1235224.

The greatest common factor of 85/472,4208/2617 = [GCF of 85,4208]/[LCM of 472,2617]= 1/1235224

Therefore, the GCF of 85/472,4208/2617 is 1/1235224.

Greatest Common Factor of 85,4208

To find the highest common factor of 85,4208, we have to find the factors of both numbers and list the highest common factor.

The factors of 85 are 1, 5, 17, 85

The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208

The HCF of 85,4208 is 1.

Lets's calculate GCF of 85,4208

Greatest Common Factor (GCF) of 85,4208 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 85,4208 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 4208

1,2,4,8,16,263,526,1052,2104,4208

Greatest Common Factor

We found the factors 85,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 85,4208 is 1.

Lets's calculate LCM of 472,2617

Lowest Common Multiple of 472,2617 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1235224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1235224

Therefore, the GCF of Fractions 85/472,4208/2617 is 1/1235224

Least Common Multiple of 472,2617 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 472,2617 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,2617) = 1

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

GCF(472,2617) x common factors =1 x 1 = 1

LCM(472,2617) = ( 472 × 2617 ) / 1

LCM(472,2617) = 1235224 / 1

LCM(472,2617) = 1235224

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 85/472, 4208/2617

1. What is the HCF of 85,4208?

The HCF of 85,4208 is 1

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 85/472, 4208/2617?

Answer: GCF of Numerators as per given numbers 85/472, 4208/2617 is

GCF of Numerators i.e. for 85,4208 is 1

LCM of denominators i.e. for 472,2617 is 1235224.

Thus, GCF of Fractions is 1/1235224.Finally, GCF of Fractions for 85/472, 4208/2617 is 1/1235224.