GCF of 4348/564, 5877/2778
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4348/564, 5877/2778 i.e 1/261132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4348/564, 5877/2778.
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 4348/564,5877/2778?
Given fractions are 4348/564,5877/2778
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 4348/564,5877/2778, numerators are 4348,5877
Denominators are 564,2778
The GCF of 4348,5877 is 1 .
LCM of 564,2778 is 261132.
The greatest common factor of 4348/564,5877/2778 = [GCF of 4348,5877]/[LCM of 564,2778]= 1/261132
Therefore, the GCF of 4348/564,5877/2778 is 1/261132.
To find the highest common factor of 4348,5877, we have to find the factors of both numbers and list the highest common factor.
The factors of 4348 are 1, 2, 4, 1087, 2174, 4348
The factors of 5877 are 1, 3, 9, 653, 1959, 5877
The HCF of 4348,5877 is 1.
Lets's calculate GCF of 4348,5877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4348,5877 By Matching Biggest Common Factor Method
Now, list down the factors of 4348
:1,2,4,1087,2174,4348
Now, list down the factors of 5877
:1,3,9,653,1959,5877
Greatest Common Factor
We found the factors 4348,5877 . The biggest common factor number is the GCF number.
So the greatest common factor 4348,5877 is 1.
Lets's calculate LCM of 564,2778
| 2 | 564, 2778 |
| 3 | 282, 1389 |
| 94, 463 |
∴ So the LCM of the given numbers is 2 x 3 x 94 x 463 = 261132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261132
Therefore, the GCF of Fractions 4348/564,5877/2778 is 1/261132
Least Common Multiple of 564,2778 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 564,2778 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,2778) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(564,2778) x common factors =6 x 1 = 6
LCM(564,2778) = ( 564 × 2778 ) / 6
LCM(564,2778) = 1566792 / 6
LCM(564,2778) = 261132
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FAQs on GCF of Fractions of 4348/564, 5877/2778
1. What is the HCF of 4348,5877?
The HCF of 4348,5877 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 4348/564, 5877/2778?
Answer: GCF of Numerators as per given numbers 4348/564, 5877/2778 is
GCF of Numerators i.e. for 4348,5877 is 1
LCM of denominators i.e. for 564,2778 is 261132.
Thus, GCF of Fractions is 1/261132.Finally, GCF of Fractions for 4348/564, 5877/2778 is 1/261132.