How to Find GCF of 4178/816, 5951/7328?

GCF of 4178/816, 5951/7328

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 4178/816, 5951/7328 i.e 1/373728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4178/816, 5951/7328.

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 4178/816,5951/7328?

Given fractions are 4178/816,5951/7328

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 4178/816,5951/7328, numerators are 4178,5951

Denominators are 816,7328

The GCF of 4178,5951 is 1 .

LCM of 816,7328 is 373728.

The greatest common factor of 4178/816,5951/7328 = [GCF of 4178,5951]/[LCM of 816,7328]= 1/373728

Therefore, the GCF of 4178/816,5951/7328 is 1/373728.

Greatest Common Factor of 4178,5951

To find the highest common factor of 4178,5951, we have to find the factors of both numbers and list the highest common factor.

The factors of 4178 are 1, 2, 2089, 4178

The factors of 5951 are 1, 11, 541, 5951

The HCF of 4178,5951 is 1.

Lets's calculate GCF of 4178,5951

Greatest Common Factor (GCF) of 4178,5951 By Common Division

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

Greatest Common Factor of 4178,5951 By Matching Biggest Common Factor Method

Now, list down the factors of 4178

1,2,2089,4178

Now, list down the factors of 5951

1,11,541,5951

Greatest Common Factor

We found the factors 4178,5951 . The biggest common factor number is the GCF number.
So the greatest common factor 4178,5951 is 1.

Lets's calculate LCM of 816,7328

Lowest Common Multiple of 816,7328 using Common Division

2	816, 7328
2	408, 3664
2	204, 1832
2	102, 916
	51, 458

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 51 x 458 = 373728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373728

Therefore, the GCF of Fractions 4178/816,5951/7328 is 1/373728

Least Common Multiple of 816,7328 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 816,7328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(816,7328) = 16

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

GCF(816,7328) x common factors =16 x 1 = 16

LCM(816,7328) = ( 816 × 7328 ) / 16

LCM(816,7328) = 5979648 / 16

LCM(816,7328) = 373728

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4178/816, 5951/7328

1. What is the HCF of 4178,5951?

The HCF of 4178,5951 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 4178/816, 5951/7328?

Answer: GCF of Numerators as per given numbers 4178/816, 5951/7328 is

GCF of Numerators i.e. for 4178,5951 is 1

LCM of denominators i.e. for 816,7328 is 373728.

Thus, GCF of Fractions is 1/373728.Finally, GCF of Fractions for 4178/816, 5951/7328 is 1/373728.