How to Find GCF of 857/24, 208/7345?

GCF of 857/24, 208/7345

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 857/24, 208/7345 i.e 1/176280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 857/24, 208/7345.

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 857/24,208/7345?

Given fractions are 857/24,208/7345

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 857/24,208/7345, numerators are 857,208

Denominators are 24,7345

The GCF of 857,208 is 1 .

LCM of 24,7345 is 176280.

The greatest common factor of 857/24,208/7345 = [GCF of 857,208]/[LCM of 24,7345]= 1/176280

Therefore, the GCF of 857/24,208/7345 is 1/176280.

Greatest Common Factor of 857,208

To find the highest common factor of 857,208, we have to find the factors of both numbers and list the highest common factor.

The factors of 857 are 1, 857

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

The HCF of 857,208 is 1.

Lets's calculate GCF of 857,208

Greatest Common Factor (GCF) of 857,208 By Common Division

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

Greatest Common Factor of 857,208 By Matching Biggest Common Factor Method

Now, list down the factors of 857

1,857

Now, list down the factors of 208

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

Greatest Common Factor

We found the factors 857,208 . The biggest common factor number is the GCF number.
So the greatest common factor 857,208 is 1.

Lets's calculate LCM of 24,7345

Lowest Common Multiple of 24,7345 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 176280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176280

Therefore, the GCF of Fractions 857/24,208/7345 is 1/176280

Least Common Multiple of 24,7345 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 24,7345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7345) = 1

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

GCF(24,7345) x common factors =1 x 1 = 1

LCM(24,7345) = ( 24 × 7345 ) / 1

LCM(24,7345) = 176280 / 1

LCM(24,7345) = 176280

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FAQs on GCF of Fractions of 857/24, 208/7345

1. What is the HCF of 857,208?

The HCF of 857,208 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 857/24, 208/7345?

Answer: GCF of Numerators as per given numbers 857/24, 208/7345 is

GCF of Numerators i.e. for 857,208 is 1

LCM of denominators i.e. for 24,7345 is 176280.

Thus, GCF of Fractions is 1/176280.Finally, GCF of Fractions for 857/24, 208/7345 is 1/176280.