GCF of 7877/454, 8134/5448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7877/454, 8134/5448 i.e 1/5448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7877/454, 8134/5448.
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 7877/454,8134/5448?
Given fractions are 7877/454,8134/5448
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 7877/454,8134/5448, numerators are 7877,8134
Denominators are 454,5448
The GCF of 7877,8134 is 1 .
LCM of 454,5448 is 5448.
The greatest common factor of 7877/454,8134/5448 = [GCF of 7877,8134]/[LCM of 454,5448]= 1/5448
Therefore, the GCF of 7877/454,8134/5448 is 1/5448.
To find the highest common factor of 7877,8134, we have to find the factors of both numbers and list the highest common factor.
The factors of 7877 are 1, 7877
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The HCF of 7877,8134 is 1.
Lets's calculate GCF of 7877,8134
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7877,8134 By Matching Biggest Common Factor Method
Now, list down the factors of 7877
:1,7877
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 7877,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 7877,8134 is 1.
Lets's calculate LCM of 454,5448
| 2 | 454, 5448 |
| 227 | 227, 2724 |
| 1, 12 |
∴ So the LCM of the given numbers is 2 x 227 x 1 x 12 = 5448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5448
Therefore, the GCF of Fractions 7877/454,8134/5448 is 1/5448
Least Common Multiple of 454,5448 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 454,5448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,5448) = 454
common factors(in case of two or more numbers have common factors) = 1
GCF(454,5448) x common factors =454 x 1 = 454
LCM(454,5448) = ( 454 × 5448 ) / 454
LCM(454,5448) = 2473392 / 454
LCM(454,5448) = 5448
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FAQs on GCF of Fractions of 7877/454, 8134/5448
1. What is the HCF of 7877,8134?
The HCF of 7877,8134 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 7877/454, 8134/5448?
Answer: GCF of Numerators as per given numbers 7877/454, 8134/5448 is
GCF of Numerators i.e. for 7877,8134 is 1
LCM of denominators i.e. for 454,5448 is 5448.
Thus, GCF of Fractions is 1/5448.Finally, GCF of Fractions for 7877/454, 8134/5448 is 1/5448.