How to Find GCF of 4345/614, 1211/4870?

GCF of 4345/614, 1211/4870

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 4345/614, 1211/4870 i.e 1/1495090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4345/614, 1211/4870.

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 4345/614,1211/4870?

Given fractions are 4345/614,1211/4870

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 4345/614,1211/4870, numerators are 4345,1211

Denominators are 614,4870

The GCF of 4345,1211 is 1 .

LCM of 614,4870 is 1495090.

The greatest common factor of 4345/614,1211/4870 = [GCF of 4345,1211]/[LCM of 614,4870]= 1/1495090

Therefore, the GCF of 4345/614,1211/4870 is 1/1495090.

Greatest Common Factor of 4345,1211

To find the highest common factor of 4345,1211, we have to find the factors of both numbers and list the highest common factor.

The factors of 4345 are 1, 5, 11, 55, 79, 395, 869, 4345

The factors of 1211 are 1, 7, 173, 1211

The HCF of 4345,1211 is 1.

Lets's calculate GCF of 4345,1211

Greatest Common Factor (GCF) of 4345,1211 By Common Division

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

Greatest Common Factor of 4345,1211 By Matching Biggest Common Factor Method

Now, list down the factors of 4345

1,5,11,55,79,395,869,4345

Now, list down the factors of 1211

1,7,173,1211

Greatest Common Factor

We found the factors 4345,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 4345,1211 is 1.

Lets's calculate LCM of 614,4870

Lowest Common Multiple of 614,4870 using Common Division

2	614, 4870
	307, 2435

∴ So the LCM of the given numbers is 2 x 307 x 2435 = 1495090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1495090

Therefore, the GCF of Fractions 4345/614,1211/4870 is 1/1495090

Least Common Multiple of 614,4870 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 614,4870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,4870) = 2

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

GCF(614,4870) x common factors =2 x 1 = 2

LCM(614,4870) = ( 614 × 4870 ) / 2

LCM(614,4870) = 2990180 / 2

LCM(614,4870) = 1495090

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FAQs on GCF of Fractions of 4345/614, 1211/4870

1. What is the HCF of 4345,1211?

The HCF of 4345,1211 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 4345/614, 1211/4870?

Answer: GCF of Numerators as per given numbers 4345/614, 1211/4870 is

GCF of Numerators i.e. for 4345,1211 is 1

LCM of denominators i.e. for 614,4870 is 1495090.

Thus, GCF of Fractions is 1/1495090.Finally, GCF of Fractions for 4345/614, 1211/4870 is 1/1495090.