GCF of 5888/602, 2314/9159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5888/602, 2314/9159 i.e 2/128226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5888/602, 2314/9159.
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 5888/602,2314/9159?
Given fractions are 5888/602,2314/9159
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 5888/602,2314/9159, numerators are 5888,2314
Denominators are 602,9159
The GCF of 5888,2314 is 2 .
LCM of 602,9159 is 128226.
The greatest common factor of 5888/602,2314/9159 = [GCF of 5888,2314]/[LCM of 602,9159]= 2/128226
Therefore, the GCF of 5888/602,2314/9159 is 2/128226.
To find the highest common factor of 5888,2314, we have to find the factors of both numbers and list the highest common factor.
The factors of 5888 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 736, 1472, 2944, 5888
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The HCF of 5888,2314 is 2.
Lets's calculate GCF of 5888,2314
| 2 | 5888, 2314 |
| 2944, 1157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5888,2314 By Matching Biggest Common Factor Method
Now, list down the factors of 5888
:1,2,4,8,16,23,32,46,64,92,128,184,256,368,736,1472,2944,5888
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 5888,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 5888,2314 is 2.
Lets's calculate LCM of 602,9159
| 43 | 602, 9159 |
| 14, 213 |
∴ So the LCM of the given numbers is 43 x 14 x 213 = 128226
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/128226
Therefore, the GCF of Fractions 5888/602,2314/9159 is 2/128226
Least Common Multiple of 602,9159 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 602,9159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,9159) = 43
common factors(in case of two or more numbers have common factors) = 1
GCF(602,9159) x common factors =43 x 1 = 43
LCM(602,9159) = ( 602 × 9159 ) / 43
LCM(602,9159) = 5513718 / 43
LCM(602,9159) = 128226
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FAQs on GCF of Fractions of 5888/602, 2314/9159
1. What is the HCF of 5888,2314?
The HCF of 5888,2314 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 5888/602, 2314/9159?
Answer: GCF of Numerators as per given numbers 5888/602, 2314/9159 is
GCF of Numerators i.e. for 5888,2314 is 2
LCM of denominators i.e. for 602,9159 is 128226.
Thus, GCF of Fractions is 2/128226.Finally, GCF of Fractions for 5888/602, 2314/9159 is 2/128226.