How to Find GCF of 9058/526, 3953/2050?

GCF of 9058/526, 3953/2050

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 9058/526, 3953/2050 i.e 1/539150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9058/526, 3953/2050.

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 9058/526,3953/2050?

Given fractions are 9058/526,3953/2050

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 9058/526,3953/2050, numerators are 9058,3953

Denominators are 526,2050

The GCF of 9058,3953 is 1 .

LCM of 526,2050 is 539150.

The greatest common factor of 9058/526,3953/2050 = [GCF of 9058,3953]/[LCM of 526,2050]= 1/539150

Therefore, the GCF of 9058/526,3953/2050 is 1/539150.

Greatest Common Factor of 9058,3953

To find the highest common factor of 9058,3953, we have to find the factors of both numbers and list the highest common factor.

The factors of 9058 are 1, 2, 7, 14, 647, 1294, 4529, 9058

The factors of 3953 are 1, 59, 67, 3953

The HCF of 9058,3953 is 1.

Lets's calculate GCF of 9058,3953

Greatest Common Factor (GCF) of 9058,3953 By Common Division

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

Greatest Common Factor of 9058,3953 By Matching Biggest Common Factor Method

Now, list down the factors of 9058

1,2,7,14,647,1294,4529,9058

Now, list down the factors of 3953

1,59,67,3953

Greatest Common Factor

We found the factors 9058,3953 . The biggest common factor number is the GCF number.
So the greatest common factor 9058,3953 is 1.

Lets's calculate LCM of 526,2050

Lowest Common Multiple of 526,2050 using Common Division

2	526, 2050
	263, 1025

∴ So the LCM of the given numbers is 2 x 263 x 1025 = 539150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/539150

Therefore, the GCF of Fractions 9058/526,3953/2050 is 1/539150

Least Common Multiple of 526,2050 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 526,2050 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,2050) = 2

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

GCF(526,2050) x common factors =2 x 1 = 2

LCM(526,2050) = ( 526 × 2050 ) / 2

LCM(526,2050) = 1078300 / 2

LCM(526,2050) = 539150

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9058/526, 3953/2050

1. What is the HCF of 9058,3953?

The HCF of 9058,3953 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 9058/526, 3953/2050?

Answer: GCF of Numerators as per given numbers 9058/526, 3953/2050 is

GCF of Numerators i.e. for 9058,3953 is 1

LCM of denominators i.e. for 526,2050 is 539150.

Thus, GCF of Fractions is 1/539150.Finally, GCF of Fractions for 9058/526, 3953/2050 is 1/539150.