GCF of 8377/862, 6443/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8377/862, 6443/434 i.e 1/187054 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8377/862, 6443/434.
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 8377/862,6443/434?
Given fractions are 8377/862,6443/434
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 8377/862,6443/434, numerators are 8377,6443
Denominators are 862,434
The GCF of 8377,6443 is 1 .
LCM of 862,434 is 187054.
The greatest common factor of 8377/862,6443/434 = [GCF of 8377,6443]/[LCM of 862,434]= 1/187054
Therefore, the GCF of 8377/862,6443/434 is 1/187054.
To find the highest common factor of 8377,6443, we have to find the factors of both numbers and list the highest common factor.
The factors of 8377 are 1, 8377
The factors of 6443 are 1, 17, 379, 6443
The HCF of 8377,6443 is 1.
Lets's calculate GCF of 8377,6443
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8377,6443 By Matching Biggest Common Factor Method
Now, list down the factors of 8377
:1,8377
Now, list down the factors of 6443
:1,17,379,6443
Greatest Common Factor
We found the factors 8377,6443 . The biggest common factor number is the GCF number.
So the greatest common factor 8377,6443 is 1.
Lets's calculate LCM of 862,434
| 2 | 862, 434 |
| 431, 217 |
∴ So the LCM of the given numbers is 2 x 431 x 217 = 187054
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187054
Therefore, the GCF of Fractions 8377/862,6443/434 is 1/187054
Least Common Multiple of 862,434 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 862,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,434) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,434) x common factors =2 x 1 = 2
LCM(862,434) = ( 862 × 434 ) / 2
LCM(862,434) = 374108 / 2
LCM(862,434) = 187054
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FAQs on GCF of Fractions of 8377/862, 6443/434
1. What is the HCF of 8377,6443?
The HCF of 8377,6443 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 8377/862, 6443/434?
Answer: GCF of Numerators as per given numbers 8377/862, 6443/434 is
GCF of Numerators i.e. for 8377,6443 is 1
LCM of denominators i.e. for 862,434 is 187054.
Thus, GCF of Fractions is 1/187054.Finally, GCF of Fractions for 8377/862, 6443/434 is 1/187054.