How to Find GCF of 7568/986, 3701/6292?

GCF of 7568/986, 3701/6292

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 7568/986, 3701/6292 i.e 1/3101956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7568/986, 3701/6292.

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 7568/986,3701/6292?

Given fractions are 7568/986,3701/6292

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 7568/986,3701/6292, numerators are 7568,3701

Denominators are 986,6292

The GCF of 7568,3701 is 1 .

LCM of 986,6292 is 3101956.

The greatest common factor of 7568/986,3701/6292 = [GCF of 7568,3701]/[LCM of 986,6292]= 1/3101956

Therefore, the GCF of 7568/986,3701/6292 is 1/3101956.

Greatest Common Factor of 7568,3701

To find the highest common factor of 7568,3701, we have to find the factors of both numbers and list the highest common factor.

The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568

The factors of 3701 are 1, 3701

The HCF of 7568,3701 is 1.

Lets's calculate GCF of 7568,3701

Greatest Common Factor (GCF) of 7568,3701 By Common Division

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

Greatest Common Factor of 7568,3701 By Matching Biggest Common Factor Method

Now, list down the factors of 7568

1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568

Now, list down the factors of 3701

1,3701

Greatest Common Factor

We found the factors 7568,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 7568,3701 is 1.

Lets's calculate LCM of 986,6292

Lowest Common Multiple of 986,6292 using Common Division

2	986, 6292
	493, 3146

∴ So the LCM of the given numbers is 2 x 493 x 3146 = 3101956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3101956

Therefore, the GCF of Fractions 7568/986,3701/6292 is 1/3101956

Least Common Multiple of 986,6292 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 986,6292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,6292) = 2

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

GCF(986,6292) x common factors =2 x 1 = 2

LCM(986,6292) = ( 986 × 6292 ) / 2

LCM(986,6292) = 6203912 / 2

LCM(986,6292) = 3101956

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7568/986, 3701/6292

1. What is the HCF of 7568,3701?

The HCF of 7568,3701 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 7568/986, 3701/6292?

Answer: GCF of Numerators as per given numbers 7568/986, 3701/6292 is

GCF of Numerators i.e. for 7568,3701 is 1

LCM of denominators i.e. for 986,6292 is 3101956.

Thus, GCF of Fractions is 1/3101956.Finally, GCF of Fractions for 7568/986, 3701/6292 is 1/3101956.