GCF of 4930/991, 7713/2044
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4930/991, 7713/2044 i.e 1/2025604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4930/991, 7713/2044.
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 4930/991,7713/2044?
Given fractions are 4930/991,7713/2044
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 4930/991,7713/2044, numerators are 4930,7713
Denominators are 991,2044
The GCF of 4930,7713 is 1 .
LCM of 991,2044 is 2025604.
The greatest common factor of 4930/991,7713/2044 = [GCF of 4930,7713]/[LCM of 991,2044]= 1/2025604
Therefore, the GCF of 4930/991,7713/2044 is 1/2025604.
To find the highest common factor of 4930,7713, we have to find the factors of both numbers and list the highest common factor.
The factors of 4930 are 1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 290, 493, 986, 2465, 4930
The factors of 7713 are 1, 3, 9, 857, 2571, 7713
The HCF of 4930,7713 is 1.
Lets's calculate GCF of 4930,7713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4930,7713 By Matching Biggest Common Factor Method
Now, list down the factors of 4930
:1,2,5,10,17,29,34,58,85,145,170,290,493,986,2465,4930
Now, list down the factors of 7713
:1,3,9,857,2571,7713
Greatest Common Factor
We found the factors 4930,7713 . The biggest common factor number is the GCF number.
So the greatest common factor 4930,7713 is 1.
Lets's calculate LCM of 991,2044
Given numbers has no common factors except 1. So, there LCM is their product i.e 2025604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2025604
Therefore, the GCF of Fractions 4930/991,7713/2044 is 1/2025604
Least Common Multiple of 991,2044 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 991,2044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,2044) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,2044) x common factors =1 x 1 = 1
LCM(991,2044) = ( 991 × 2044 ) / 1
LCM(991,2044) = 2025604 / 1
LCM(991,2044) = 2025604
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FAQs on GCF of Fractions of 4930/991, 7713/2044
1. What is the HCF of 4930,7713?
The HCF of 4930,7713 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 4930/991, 7713/2044?
Answer: GCF of Numerators as per given numbers 4930/991, 7713/2044 is
GCF of Numerators i.e. for 4930,7713 is 1
LCM of denominators i.e. for 991,2044 is 2025604.
Thus, GCF of Fractions is 1/2025604.Finally, GCF of Fractions for 4930/991, 7713/2044 is 1/2025604.