GCF of 5410/287, 5664/4957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5410/287, 5664/4957 i.e 2/1422659 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5410/287, 5664/4957.
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 5410/287,5664/4957?
Given fractions are 5410/287,5664/4957
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 5410/287,5664/4957, numerators are 5410,5664
Denominators are 287,4957
The GCF of 5410,5664 is 2 .
LCM of 287,4957 is 1422659.
The greatest common factor of 5410/287,5664/4957 = [GCF of 5410,5664]/[LCM of 287,4957]= 2/1422659
Therefore, the GCF of 5410/287,5664/4957 is 2/1422659.
To find the highest common factor of 5410,5664, we have to find the factors of both numbers and list the highest common factor.
The factors of 5410 are 1, 2, 5, 10, 541, 1082, 2705, 5410
The factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The HCF of 5410,5664 is 2.
Lets's calculate GCF of 5410,5664
| 2 | 5410, 5664 |
| 2705, 2832 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5410,5664 By Matching Biggest Common Factor Method
Now, list down the factors of 5410
:1,2,5,10,541,1082,2705,5410
Now, list down the factors of 5664
:1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664
Greatest Common Factor
We found the factors 5410,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 5410,5664 is 2.
Lets's calculate LCM of 287,4957
Given numbers has no common factors except 1. So, there LCM is their product i.e 1422659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1422659
Therefore, the GCF of Fractions 5410/287,5664/4957 is 2/1422659
Least Common Multiple of 287,4957 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 287,4957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,4957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,4957) x common factors =1 x 1 = 1
LCM(287,4957) = ( 287 × 4957 ) / 1
LCM(287,4957) = 1422659 / 1
LCM(287,4957) = 1422659
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FAQs on GCF of Fractions of 5410/287, 5664/4957
1. What is the HCF of 5410,5664?
The HCF of 5410,5664 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 5410/287, 5664/4957?
Answer: GCF of Numerators as per given numbers 5410/287, 5664/4957 is
GCF of Numerators i.e. for 5410,5664 is 2
LCM of denominators i.e. for 287,4957 is 1422659.
Thus, GCF of Fractions is 2/1422659.Finally, GCF of Fractions for 5410/287, 5664/4957 is 2/1422659.