GCF of 4991/760, 4550/5751
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4991/760, 4550/5751 i.e 7/4370760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4991/760, 4550/5751.
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 4991/760,4550/5751?
Given fractions are 4991/760,4550/5751
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 4991/760,4550/5751, numerators are 4991,4550
Denominators are 760,5751
The GCF of 4991,4550 is 7 .
LCM of 760,5751 is 4370760.
The greatest common factor of 4991/760,4550/5751 = [GCF of 4991,4550]/[LCM of 760,5751]= 7/4370760
Therefore, the GCF of 4991/760,4550/5751 is 7/4370760.
To find the highest common factor of 4991,4550, we have to find the factors of both numbers and list the highest common factor.
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The factors of 4550 are 1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275, 4550
The HCF of 4991,4550 is 7.
Lets's calculate GCF of 4991,4550
| 7 | 4991, 4550 |
| 713, 650 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4991,4550 By Matching Biggest Common Factor Method
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Now, list down the factors of 4550
:1,2,5,7,10,13,14,25,26,35,50,65,70,91,130,175,182,325,350,455,650,910,2275,4550
Greatest Common Factor
We found the factors 4991,4550 . The biggest common factor number is the GCF number.
So the greatest common factor 4991,4550 is 7.
Lets's calculate LCM of 760,5751
Given numbers has no common factors except 1. So, there LCM is their product i.e 4370760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/4370760
Therefore, the GCF of Fractions 4991/760,4550/5751 is 7/4370760
Least Common Multiple of 760,5751 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 760,5751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,5751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,5751) x common factors =1 x 1 = 1
LCM(760,5751) = ( 760 × 5751 ) / 1
LCM(760,5751) = 4370760 / 1
LCM(760,5751) = 4370760
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FAQs on GCF of Fractions of 4991/760, 4550/5751
1. What is the HCF of 4991,4550?
The HCF of 4991,4550 is 7
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 4991/760, 4550/5751?
Answer: GCF of Numerators as per given numbers 4991/760, 4550/5751 is
GCF of Numerators i.e. for 4991,4550 is 7
LCM of denominators i.e. for 760,5751 is 4370760.
Thus, GCF of Fractions is 7/4370760.Finally, GCF of Fractions for 4991/760, 4550/5751 is 7/4370760.