GCF of 4947/686, 5894/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4947/686, 5894/152 i.e 1/52136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4947/686, 5894/152.
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 4947/686,5894/152?
Given fractions are 4947/686,5894/152
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 4947/686,5894/152, numerators are 4947,5894
Denominators are 686,152
The GCF of 4947,5894 is 1 .
LCM of 686,152 is 52136.
The greatest common factor of 4947/686,5894/152 = [GCF of 4947,5894]/[LCM of 686,152]= 1/52136
Therefore, the GCF of 4947/686,5894/152 is 1/52136.
To find the highest common factor of 4947,5894, we have to find the factors of both numbers and list the highest common factor.
The factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947
The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894
The HCF of 4947,5894 is 1.
Lets's calculate GCF of 4947,5894
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4947,5894 By Matching Biggest Common Factor Method
Now, list down the factors of 4947
:1,3,17,51,97,291,1649,4947
Now, list down the factors of 5894
:1,2,7,14,421,842,2947,5894
Greatest Common Factor
We found the factors 4947,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 4947,5894 is 1.
Lets's calculate LCM of 686,152
| 2 | 686, 152 |
| 343, 76 |
∴ So the LCM of the given numbers is 2 x 343 x 76 = 52136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52136
Therefore, the GCF of Fractions 4947/686,5894/152 is 1/52136
Least Common Multiple of 686,152 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 686,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,152) x common factors =2 x 1 = 2
LCM(686,152) = ( 686 × 152 ) / 2
LCM(686,152) = 104272 / 2
LCM(686,152) = 52136
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FAQs on GCF of Fractions of 4947/686, 5894/152
1. What is the HCF of 4947,5894?
The HCF of 4947,5894 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 4947/686, 5894/152?
Answer: GCF of Numerators as per given numbers 4947/686, 5894/152 is
GCF of Numerators i.e. for 4947,5894 is 1
LCM of denominators i.e. for 686,152 is 52136.
Thus, GCF of Fractions is 1/52136.Finally, GCF of Fractions for 4947/686, 5894/152 is 1/52136.