How to Find GCF of 7361/986, 4745/3399?

GCF of 7361/986, 4745/3399

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 7361/986, 4745/3399 i.e 1/3351414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7361/986, 4745/3399.

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 7361/986,4745/3399?

Given fractions are 7361/986,4745/3399

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 7361/986,4745/3399, numerators are 7361,4745

Denominators are 986,3399

The GCF of 7361,4745 is 1 .

LCM of 986,3399 is 3351414.

The greatest common factor of 7361/986,4745/3399 = [GCF of 7361,4745]/[LCM of 986,3399]= 1/3351414

Therefore, the GCF of 7361/986,4745/3399 is 1/3351414.

Greatest Common Factor of 7361,4745

To find the highest common factor of 7361,4745, we have to find the factors of both numbers and list the highest common factor.

The factors of 7361 are 1, 17, 433, 7361

The factors of 4745 are 1, 5, 13, 65, 73, 365, 949, 4745

The HCF of 7361,4745 is 1.

Lets's calculate GCF of 7361,4745

Greatest Common Factor (GCF) of 7361,4745 By Common Division

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

Greatest Common Factor of 7361,4745 By Matching Biggest Common Factor Method

Now, list down the factors of 7361

1,17,433,7361

Now, list down the factors of 4745

1,5,13,65,73,365,949,4745

Greatest Common Factor

We found the factors 7361,4745 . The biggest common factor number is the GCF number.
So the greatest common factor 7361,4745 is 1.

Lets's calculate LCM of 986,3399

Lowest Common Multiple of 986,3399 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3351414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3351414

Therefore, the GCF of Fractions 7361/986,4745/3399 is 1/3351414

Least Common Multiple of 986,3399 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 986,3399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,3399) = 1

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

GCF(986,3399) x common factors =1 x 1 = 1

LCM(986,3399) = ( 986 × 3399 ) / 1

LCM(986,3399) = 3351414 / 1

LCM(986,3399) = 3351414

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FAQs on GCF of Fractions of 7361/986, 4745/3399

1. What is the HCF of 7361,4745?

The HCF of 7361,4745 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 7361/986, 4745/3399?

Answer: GCF of Numerators as per given numbers 7361/986, 4745/3399 is

GCF of Numerators i.e. for 7361,4745 is 1

LCM of denominators i.e. for 986,3399 is 3351414.

Thus, GCF of Fractions is 1/3351414.Finally, GCF of Fractions for 7361/986, 4745/3399 is 1/3351414.