GCF of 7034/726, 7886/3910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7034/726, 7886/3910 i.e 2/1419330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7034/726, 7886/3910.
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 7034/726,7886/3910?
Given fractions are 7034/726,7886/3910
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 7034/726,7886/3910, numerators are 7034,7886
Denominators are 726,3910
The GCF of 7034,7886 is 2 .
LCM of 726,3910 is 1419330.
The greatest common factor of 7034/726,7886/3910 = [GCF of 7034,7886]/[LCM of 726,3910]= 2/1419330
Therefore, the GCF of 7034/726,7886/3910 is 2/1419330.
To find the highest common factor of 7034,7886, we have to find the factors of both numbers and list the highest common factor.
The factors of 7034 are 1, 2, 3517, 7034
The factors of 7886 are 1, 2, 3943, 7886
The HCF of 7034,7886 is 2.
Lets's calculate GCF of 7034,7886
| 2 | 7034, 7886 |
| 3517, 3943 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7034,7886 By Matching Biggest Common Factor Method
Now, list down the factors of 7034
:1,2,3517,7034
Now, list down the factors of 7886
:1,2,3943,7886
Greatest Common Factor
We found the factors 7034,7886 . The biggest common factor number is the GCF number.
So the greatest common factor 7034,7886 is 2.
Lets's calculate LCM of 726,3910
| 2 | 726, 3910 |
| 363, 1955 |
∴ So the LCM of the given numbers is 2 x 363 x 1955 = 1419330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1419330
Therefore, the GCF of Fractions 7034/726,7886/3910 is 2/1419330
Least Common Multiple of 726,3910 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 726,3910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,3910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,3910) x common factors =2 x 1 = 2
LCM(726,3910) = ( 726 × 3910 ) / 2
LCM(726,3910) = 2838660 / 2
LCM(726,3910) = 1419330
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FAQs on GCF of Fractions of 7034/726, 7886/3910
1. What is the HCF of 7034,7886?
The HCF of 7034,7886 is 2
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 7034/726, 7886/3910?
Answer: GCF of Numerators as per given numbers 7034/726, 7886/3910 is
GCF of Numerators i.e. for 7034,7886 is 2
LCM of denominators i.e. for 726,3910 is 1419330.
Thus, GCF of Fractions is 2/1419330.Finally, GCF of Fractions for 7034/726, 7886/3910 is 2/1419330.