GCF of 7011/878, 4714/4540
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7011/878, 4714/4540 i.e 1/1993060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7011/878, 4714/4540.
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 7011/878,4714/4540?
Given fractions are 7011/878,4714/4540
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 7011/878,4714/4540, numerators are 7011,4714
Denominators are 878,4540
The GCF of 7011,4714 is 1 .
LCM of 878,4540 is 1993060.
The greatest common factor of 7011/878,4714/4540 = [GCF of 7011,4714]/[LCM of 878,4540]= 1/1993060
Therefore, the GCF of 7011/878,4714/4540 is 1/1993060.
To find the highest common factor of 7011,4714, we have to find the factors of both numbers and list the highest common factor.
The factors of 7011 are 1, 3, 9, 19, 41, 57, 123, 171, 369, 779, 2337, 7011
The factors of 4714 are 1, 2, 2357, 4714
The HCF of 7011,4714 is 1.
Lets's calculate GCF of 7011,4714
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7011,4714 By Matching Biggest Common Factor Method
Now, list down the factors of 7011
:1,3,9,19,41,57,123,171,369,779,2337,7011
Now, list down the factors of 4714
:1,2,2357,4714
Greatest Common Factor
We found the factors 7011,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 7011,4714 is 1.
Lets's calculate LCM of 878,4540
| 2 | 878, 4540 |
| 439, 2270 |
∴ So the LCM of the given numbers is 2 x 439 x 2270 = 1993060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1993060
Therefore, the GCF of Fractions 7011/878,4714/4540 is 1/1993060
Least Common Multiple of 878,4540 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 878,4540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,4540) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,4540) x common factors =2 x 1 = 2
LCM(878,4540) = ( 878 × 4540 ) / 2
LCM(878,4540) = 3986120 / 2
LCM(878,4540) = 1993060
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FAQs on GCF of Fractions of 7011/878, 4714/4540
1. What is the HCF of 7011,4714?
The HCF of 7011,4714 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 7011/878, 4714/4540?
Answer: GCF of Numerators as per given numbers 7011/878, 4714/4540 is
GCF of Numerators i.e. for 7011,4714 is 1
LCM of denominators i.e. for 878,4540 is 1993060.
Thus, GCF of Fractions is 1/1993060.Finally, GCF of Fractions for 7011/878, 4714/4540 is 1/1993060.