How to Find GCF of 3421/125, 3380/6246?

GCF of 3421/125, 3380/6246

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 3421/125, 3380/6246 i.e 1/780750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3421/125, 3380/6246.

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 3421/125,3380/6246?

Given fractions are 3421/125,3380/6246

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 3421/125,3380/6246, numerators are 3421,3380

Denominators are 125,6246

The GCF of 3421,3380 is 1 .

LCM of 125,6246 is 780750.

The greatest common factor of 3421/125,3380/6246 = [GCF of 3421,3380]/[LCM of 125,6246]= 1/780750

Therefore, the GCF of 3421/125,3380/6246 is 1/780750.

Greatest Common Factor of 3421,3380

To find the highest common factor of 3421,3380, we have to find the factors of both numbers and list the highest common factor.

The factors of 3421 are 1, 11, 311, 3421

The factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

The HCF of 3421,3380 is 1.

Lets's calculate GCF of 3421,3380

Greatest Common Factor (GCF) of 3421,3380 By Common Division

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

Greatest Common Factor of 3421,3380 By Matching Biggest Common Factor Method

Now, list down the factors of 3421

1,11,311,3421

Now, list down the factors of 3380

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Greatest Common Factor

We found the factors 3421,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 3421,3380 is 1.

Lets's calculate LCM of 125,6246

Lowest Common Multiple of 125,6246 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 780750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/780750

Therefore, the GCF of Fractions 3421/125,3380/6246 is 1/780750

Least Common Multiple of 125,6246 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 125,6246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(125,6246) = 1

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

GCF(125,6246) x common factors =1 x 1 = 1

LCM(125,6246) = ( 125 × 6246 ) / 1

LCM(125,6246) = 780750 / 1

LCM(125,6246) = 780750

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3421/125, 3380/6246

1. What is the HCF of 3421,3380?

The HCF of 3421,3380 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 3421/125, 3380/6246?

Answer: GCF of Numerators as per given numbers 3421/125, 3380/6246 is

GCF of Numerators i.e. for 3421,3380 is 1

LCM of denominators i.e. for 125,6246 is 780750.

Thus, GCF of Fractions is 1/780750.Finally, GCF of Fractions for 3421/125, 3380/6246 is 1/780750.