How to Find GCF of 1874/385, 4829/7666?

GCF of 1874/385, 4829/7666

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 1874/385, 4829/7666 i.e 1/2951410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1874/385, 4829/7666.

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 1874/385,4829/7666?

Given fractions are 1874/385,4829/7666

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 1874/385,4829/7666, numerators are 1874,4829

Denominators are 385,7666

The GCF of 1874,4829 is 1 .

LCM of 385,7666 is 2951410.

The greatest common factor of 1874/385,4829/7666 = [GCF of 1874,4829]/[LCM of 385,7666]= 1/2951410

Therefore, the GCF of 1874/385,4829/7666 is 1/2951410.

Greatest Common Factor of 1874,4829

To find the highest common factor of 1874,4829, we have to find the factors of both numbers and list the highest common factor.

The factors of 1874 are 1, 2, 937, 1874

The factors of 4829 are 1, 11, 439, 4829

The HCF of 1874,4829 is 1.

Lets's calculate GCF of 1874,4829

Greatest Common Factor (GCF) of 1874,4829 By Common Division

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

Greatest Common Factor of 1874,4829 By Matching Biggest Common Factor Method

Now, list down the factors of 1874

1,2,937,1874

Now, list down the factors of 4829

1,11,439,4829

Greatest Common Factor

We found the factors 1874,4829 . The biggest common factor number is the GCF number.
So the greatest common factor 1874,4829 is 1.

Lets's calculate LCM of 385,7666

Lowest Common Multiple of 385,7666 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2951410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2951410

Therefore, the GCF of Fractions 1874/385,4829/7666 is 1/2951410

Least Common Multiple of 385,7666 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 385,7666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,7666) = 1

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

GCF(385,7666) x common factors =1 x 1 = 1

LCM(385,7666) = ( 385 × 7666 ) / 1

LCM(385,7666) = 2951410 / 1

LCM(385,7666) = 2951410

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1874/385, 4829/7666

1. What is the HCF of 1874,4829?

The HCF of 1874,4829 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 1874/385, 4829/7666?

Answer: GCF of Numerators as per given numbers 1874/385, 4829/7666 is

GCF of Numerators i.e. for 1874,4829 is 1

LCM of denominators i.e. for 385,7666 is 2951410.

Thus, GCF of Fractions is 1/2951410.Finally, GCF of Fractions for 1874/385, 4829/7666 is 1/2951410.