GCF of 4516/876, 1040/7138
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4516/876, 1040/7138 i.e 4/3126444 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4516/876, 1040/7138.
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 4516/876,1040/7138?
Given fractions are 4516/876,1040/7138
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 4516/876,1040/7138, numerators are 4516,1040
Denominators are 876,7138
The GCF of 4516,1040 is 4 .
LCM of 876,7138 is 3126444.
The greatest common factor of 4516/876,1040/7138 = [GCF of 4516,1040]/[LCM of 876,7138]= 4/3126444
Therefore, the GCF of 4516/876,1040/7138 is 4/3126444.
To find the highest common factor of 4516,1040, we have to find the factors of both numbers and list the highest common factor.
The factors of 4516 are 1, 2, 4, 1129, 2258, 4516
The factors of 1040 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040
The HCF of 4516,1040 is 4.
Lets's calculate GCF of 4516,1040
| 2 | 4516, 1040 |
| 2 | 2258, 520 |
| 1129, 260 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4516,1040 By Matching Biggest Common Factor Method
Now, list down the factors of 4516
:1,2,4,1129,2258,4516
Now, list down the factors of 1040
:1,2,4,5,8,10,13,16,20,26,40,52,65,80,104,130,208,260,520,1040
Greatest Common Factor
We found the factors 4516,1040 . The biggest common factor number is the GCF number.
So the greatest common factor 4516,1040 is 4.
Lets's calculate LCM of 876,7138
| 2 | 876, 7138 |
| 438, 3569 |
∴ So the LCM of the given numbers is 2 x 438 x 3569 = 3126444
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3126444
Therefore, the GCF of Fractions 4516/876,1040/7138 is 4/3126444
Least Common Multiple of 876,7138 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 876,7138 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,7138) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(876,7138) x common factors =2 x 1 = 2
LCM(876,7138) = ( 876 × 7138 ) / 2
LCM(876,7138) = 6252888 / 2
LCM(876,7138) = 3126444
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FAQs on GCF of Fractions of 4516/876, 1040/7138
1. What is the HCF of 4516,1040?
The HCF of 4516,1040 is 4
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 4516/876, 1040/7138?
Answer: GCF of Numerators as per given numbers 4516/876, 1040/7138 is
GCF of Numerators i.e. for 4516,1040 is 4
LCM of denominators i.e. for 876,7138 is 3126444.
Thus, GCF of Fractions is 4/3126444.Finally, GCF of Fractions for 4516/876, 1040/7138 is 4/3126444.