How to Find GCF of 8065/830, 2141/540?

GCF of 8065/830, 2141/540

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 8065/830, 2141/540 i.e 1/44820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8065/830, 2141/540.

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 8065/830,2141/540?

Given fractions are 8065/830,2141/540

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 8065/830,2141/540, numerators are 8065,2141

Denominators are 830,540

The GCF of 8065,2141 is 1 .

LCM of 830,540 is 44820.

The greatest common factor of 8065/830,2141/540 = [GCF of 8065,2141]/[LCM of 830,540]= 1/44820

Therefore, the GCF of 8065/830,2141/540 is 1/44820.

Greatest Common Factor of 8065,2141

To find the highest common factor of 8065,2141, we have to find the factors of both numbers and list the highest common factor.

The factors of 8065 are 1, 5, 1613, 8065

The factors of 2141 are 1, 2141

The HCF of 8065,2141 is 1.

Lets's calculate GCF of 8065,2141

Greatest Common Factor (GCF) of 8065,2141 By Common Division

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

Greatest Common Factor of 8065,2141 By Matching Biggest Common Factor Method

Now, list down the factors of 8065

1,5,1613,8065

Now, list down the factors of 2141

1,2141

Greatest Common Factor

We found the factors 8065,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 8065,2141 is 1.

Lets's calculate LCM of 830,540

Lowest Common Multiple of 830,540 using Common Division

2	830, 540
5	415, 270
	83, 54

∴ So the LCM of the given numbers is 2 x 5 x 83 x 54 = 44820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44820

Therefore, the GCF of Fractions 8065/830,2141/540 is 1/44820

Least Common Multiple of 830,540 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 830,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(830,540) = 10

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

GCF(830,540) x common factors =10 x 1 = 10

LCM(830,540) = ( 830 × 540 ) / 10

LCM(830,540) = 448200 / 10

LCM(830,540) = 44820

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FAQs on GCF of Fractions of 8065/830, 2141/540

1. What is the HCF of 8065,2141?

The HCF of 8065,2141 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 8065/830, 2141/540?

Answer: GCF of Numerators as per given numbers 8065/830, 2141/540 is

GCF of Numerators i.e. for 8065,2141 is 1

LCM of denominators i.e. for 830,540 is 44820.

Thus, GCF of Fractions is 1/44820.Finally, GCF of Fractions for 8065/830, 2141/540 is 1/44820.