How to Find GCF of 85/603, 9618/8480?

GCF of 85/603, 9618/8480

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 85/603, 9618/8480 i.e 1/5113440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 85/603, 9618/8480.

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 85/603,9618/8480?

Given fractions are 85/603,9618/8480

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 85/603,9618/8480, numerators are 85,9618

Denominators are 603,8480

The GCF of 85,9618 is 1 .

LCM of 603,8480 is 5113440.

The greatest common factor of 85/603,9618/8480 = [GCF of 85,9618]/[LCM of 603,8480]= 1/5113440

Therefore, the GCF of 85/603,9618/8480 is 1/5113440.

Greatest Common Factor of 85,9618

To find the highest common factor of 85,9618, 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 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618

The HCF of 85,9618 is 1.

Lets's calculate GCF of 85,9618

Greatest Common Factor (GCF) of 85,9618 By Common Division

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

Greatest Common Factor of 85,9618 By Matching Biggest Common Factor Method

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 9618

1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618

Greatest Common Factor

We found the factors 85,9618 . The biggest common factor number is the GCF number.
So the greatest common factor 85,9618 is 1.

Lets's calculate LCM of 603,8480

Lowest Common Multiple of 603,8480 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5113440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5113440

Therefore, the GCF of Fractions 85/603,9618/8480 is 1/5113440

Least Common Multiple of 603,8480 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 603,8480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(603,8480) = 1

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

GCF(603,8480) x common factors =1 x 1 = 1

LCM(603,8480) = ( 603 × 8480 ) / 1

LCM(603,8480) = 5113440 / 1

LCM(603,8480) = 5113440

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FAQs on GCF of Fractions of 85/603, 9618/8480

1. What is the HCF of 85,9618?

The HCF of 85,9618 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 85/603, 9618/8480?

Answer: GCF of Numerators as per given numbers 85/603, 9618/8480 is

GCF of Numerators i.e. for 85,9618 is 1

LCM of denominators i.e. for 603,8480 is 5113440.

Thus, GCF of Fractions is 1/5113440.Finally, GCF of Fractions for 85/603, 9618/8480 is 1/5113440.