GCF of 4937/914, 8848/3504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4937/914, 8848/3504 i.e 1/1601328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4937/914, 8848/3504.
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 4937/914,8848/3504?
Given fractions are 4937/914,8848/3504
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 4937/914,8848/3504, numerators are 4937,8848
Denominators are 914,3504
The GCF of 4937,8848 is 1 .
LCM of 914,3504 is 1601328.
The greatest common factor of 4937/914,8848/3504 = [GCF of 4937,8848]/[LCM of 914,3504]= 1/1601328
Therefore, the GCF of 4937/914,8848/3504 is 1/1601328.
To find the highest common factor of 4937,8848, we have to find the factors of both numbers and list the highest common factor.
The factors of 4937 are 1, 4937
The factors of 8848 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 79, 112, 158, 316, 553, 632, 1106, 1264, 2212, 4424, 8848
The HCF of 4937,8848 is 1.
Lets's calculate GCF of 4937,8848
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4937,8848 By Matching Biggest Common Factor Method
Now, list down the factors of 4937
:1,4937
Now, list down the factors of 8848
:1,2,4,7,8,14,16,28,56,79,112,158,316,553,632,1106,1264,2212,4424,8848
Greatest Common Factor
We found the factors 4937,8848 . The biggest common factor number is the GCF number.
So the greatest common factor 4937,8848 is 1.
Lets's calculate LCM of 914,3504
| 2 | 914, 3504 |
| 457, 1752 |
∴ So the LCM of the given numbers is 2 x 457 x 1752 = 1601328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1601328
Therefore, the GCF of Fractions 4937/914,8848/3504 is 1/1601328
Least Common Multiple of 914,3504 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 914,3504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,3504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,3504) x common factors =2 x 1 = 2
LCM(914,3504) = ( 914 × 3504 ) / 2
LCM(914,3504) = 3202656 / 2
LCM(914,3504) = 1601328
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FAQs on GCF of Fractions of 4937/914, 8848/3504
1. What is the HCF of 4937,8848?
The HCF of 4937,8848 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 4937/914, 8848/3504?
Answer: GCF of Numerators as per given numbers 4937/914, 8848/3504 is
GCF of Numerators i.e. for 4937,8848 is 1
LCM of denominators i.e. for 914,3504 is 1601328.
Thus, GCF of Fractions is 1/1601328.Finally, GCF of Fractions for 4937/914, 8848/3504 is 1/1601328.