GCF of 4602/988, 4731/160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4602/988, 4731/160 i.e 3/39520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4602/988, 4731/160.
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 4602/988,4731/160?
Given fractions are 4602/988,4731/160
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 4602/988,4731/160, numerators are 4602,4731
Denominators are 988,160
The GCF of 4602,4731 is 3 .
LCM of 988,160 is 39520.
The greatest common factor of 4602/988,4731/160 = [GCF of 4602,4731]/[LCM of 988,160]= 3/39520
Therefore, the GCF of 4602/988,4731/160 is 3/39520.
To find the highest common factor of 4602,4731, we have to find the factors of both numbers and list the highest common factor.
The factors of 4602 are 1, 2, 3, 6, 13, 26, 39, 59, 78, 118, 177, 354, 767, 1534, 2301, 4602
The factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731
The HCF of 4602,4731 is 3.
Lets's calculate GCF of 4602,4731
| 3 | 4602, 4731 |
| 1534, 1577 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4602,4731 By Matching Biggest Common Factor Method
Now, list down the factors of 4602
:1,2,3,6,13,26,39,59,78,118,177,354,767,1534,2301,4602
Now, list down the factors of 4731
:1,3,19,57,83,249,1577,4731
Greatest Common Factor
We found the factors 4602,4731 . The biggest common factor number is the GCF number.
So the greatest common factor 4602,4731 is 3.
Lets's calculate LCM of 988,160
| 2 | 988, 160 |
| 2 | 494, 80 |
| 247, 40 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 40 = 39520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39520
Therefore, the GCF of Fractions 4602/988,4731/160 is 3/39520
Least Common Multiple of 988,160 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 988,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,160) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,160) x common factors =4 x 1 = 4
LCM(988,160) = ( 988 × 160 ) / 4
LCM(988,160) = 158080 / 4
LCM(988,160) = 39520
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FAQs on GCF of Fractions of 4602/988, 4731/160
1. What is the HCF of 4602,4731?
The HCF of 4602,4731 is 3
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 4602/988, 4731/160?
Answer: GCF of Numerators as per given numbers 4602/988, 4731/160 is
GCF of Numerators i.e. for 4602,4731 is 3
LCM of denominators i.e. for 988,160 is 39520.
Thus, GCF of Fractions is 3/39520.Finally, GCF of Fractions for 4602/988, 4731/160 is 3/39520.