GCF of 4849/702, 8682/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4849/702, 8682/418 i.e 1/146718 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4849/702, 8682/418.
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 4849/702,8682/418?
Given fractions are 4849/702,8682/418
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 4849/702,8682/418, numerators are 4849,8682
Denominators are 702,418
The GCF of 4849,8682 is 1 .
LCM of 702,418 is 146718.
The greatest common factor of 4849/702,8682/418 = [GCF of 4849,8682]/[LCM of 702,418]= 1/146718
Therefore, the GCF of 4849/702,8682/418 is 1/146718.
To find the highest common factor of 4849,8682, we have to find the factors of both numbers and list the highest common factor.
The factors of 4849 are 1, 13, 373, 4849
The factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682
The HCF of 4849,8682 is 1.
Lets's calculate GCF of 4849,8682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4849,8682 By Matching Biggest Common Factor Method
Now, list down the factors of 4849
:1,13,373,4849
Now, list down the factors of 8682
:1,2,3,6,1447,2894,4341,8682
Greatest Common Factor
We found the factors 4849,8682 . The biggest common factor number is the GCF number.
So the greatest common factor 4849,8682 is 1.
Lets's calculate LCM of 702,418
| 2 | 702, 418 |
| 351, 209 |
∴ So the LCM of the given numbers is 2 x 351 x 209 = 146718
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146718
Therefore, the GCF of Fractions 4849/702,8682/418 is 1/146718
Least Common Multiple of 702,418 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 702,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(702,418) x common factors =2 x 1 = 2
LCM(702,418) = ( 702 × 418 ) / 2
LCM(702,418) = 293436 / 2
LCM(702,418) = 146718
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FAQs on GCF of Fractions of 4849/702, 8682/418
1. What is the HCF of 4849,8682?
The HCF of 4849,8682 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 4849/702, 8682/418?
Answer: GCF of Numerators as per given numbers 4849/702, 8682/418 is
GCF of Numerators i.e. for 4849,8682 is 1
LCM of denominators i.e. for 702,418 is 146718.
Thus, GCF of Fractions is 1/146718.Finally, GCF of Fractions for 4849/702, 8682/418 is 1/146718.