GCF of 7837/726, 2802/4214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7837/726, 2802/4214 i.e 1/1529682 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7837/726, 2802/4214.
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 7837/726,2802/4214?
Given fractions are 7837/726,2802/4214
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 7837/726,2802/4214, numerators are 7837,2802
Denominators are 726,4214
The GCF of 7837,2802 is 1 .
LCM of 726,4214 is 1529682.
The greatest common factor of 7837/726,2802/4214 = [GCF of 7837,2802]/[LCM of 726,4214]= 1/1529682
Therefore, the GCF of 7837/726,2802/4214 is 1/1529682.
To find the highest common factor of 7837,2802, we have to find the factors of both numbers and list the highest common factor.
The factors of 7837 are 1, 17, 461, 7837
The factors of 2802 are 1, 2, 3, 6, 467, 934, 1401, 2802
The HCF of 7837,2802 is 1.
Lets's calculate GCF of 7837,2802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7837,2802 By Matching Biggest Common Factor Method
Now, list down the factors of 7837
:1,17,461,7837
Now, list down the factors of 2802
:1,2,3,6,467,934,1401,2802
Greatest Common Factor
We found the factors 7837,2802 . The biggest common factor number is the GCF number.
So the greatest common factor 7837,2802 is 1.
Lets's calculate LCM of 726,4214
| 2 | 726, 4214 |
| 363, 2107 |
∴ So the LCM of the given numbers is 2 x 363 x 2107 = 1529682
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1529682
Therefore, the GCF of Fractions 7837/726,2802/4214 is 1/1529682
Least Common Multiple of 726,4214 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 726,4214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,4214) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,4214) x common factors =2 x 1 = 2
LCM(726,4214) = ( 726 × 4214 ) / 2
LCM(726,4214) = 3059364 / 2
LCM(726,4214) = 1529682
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FAQs on GCF of Fractions of 7837/726, 2802/4214
1. What is the HCF of 7837,2802?
The HCF of 7837,2802 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 7837/726, 2802/4214?
Answer: GCF of Numerators as per given numbers 7837/726, 2802/4214 is
GCF of Numerators i.e. for 7837,2802 is 1
LCM of denominators i.e. for 726,4214 is 1529682.
Thus, GCF of Fractions is 1/1529682.Finally, GCF of Fractions for 7837/726, 2802/4214 is 1/1529682.