How to Find GCF of 4016/946, 8077/9130?

GCF of 4016/946, 8077/9130

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 4016/946, 8077/9130 i.e 1/392590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4016/946, 8077/9130.

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 4016/946,8077/9130?

Given fractions are 4016/946,8077/9130

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 4016/946,8077/9130, numerators are 4016,8077

Denominators are 946,9130

The GCF of 4016,8077 is 1 .

LCM of 946,9130 is 392590.

The greatest common factor of 4016/946,8077/9130 = [GCF of 4016,8077]/[LCM of 946,9130]= 1/392590

Therefore, the GCF of 4016/946,8077/9130 is 1/392590.

Greatest Common Factor of 4016,8077

To find the highest common factor of 4016,8077, we have to find the factors of both numbers and list the highest common factor.

The factors of 4016 are 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016

The factors of 8077 are 1, 41, 197, 8077

The HCF of 4016,8077 is 1.

Lets's calculate GCF of 4016,8077

Greatest Common Factor (GCF) of 4016,8077 By Common Division

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

Greatest Common Factor of 4016,8077 By Matching Biggest Common Factor Method

Now, list down the factors of 4016

1,2,4,8,16,251,502,1004,2008,4016

Now, list down the factors of 8077

1,41,197,8077

Greatest Common Factor

We found the factors 4016,8077 . The biggest common factor number is the GCF number.
So the greatest common factor 4016,8077 is 1.

Lets's calculate LCM of 946,9130

Lowest Common Multiple of 946,9130 using Common Division

2	946, 9130
11	473, 4565
	43, 415

∴ So the LCM of the given numbers is 2 x 11 x 43 x 415 = 392590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392590

Therefore, the GCF of Fractions 4016/946,8077/9130 is 1/392590

Least Common Multiple of 946,9130 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 946,9130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,9130) = 22

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

GCF(946,9130) x common factors =22 x 1 = 22

LCM(946,9130) = ( 946 × 9130 ) / 22

LCM(946,9130) = 8636980 / 22

LCM(946,9130) = 392590

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4016/946, 8077/9130

1. What is the HCF of 4016,8077?

The HCF of 4016,8077 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 4016/946, 8077/9130?

Answer: GCF of Numerators as per given numbers 4016/946, 8077/9130 is

GCF of Numerators i.e. for 4016,8077 is 1

LCM of denominators i.e. for 946,9130 is 392590.

Thus, GCF of Fractions is 1/392590.Finally, GCF of Fractions for 4016/946, 8077/9130 is 1/392590.