GCF of 2968/515, 9023/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2968/515, 9023/769 i.e 7/396035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2968/515, 9023/769.
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 2968/515,9023/769?
Given fractions are 2968/515,9023/769
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 2968/515,9023/769, numerators are 2968,9023
Denominators are 515,769
The GCF of 2968,9023 is 7 .
LCM of 515,769 is 396035.
The greatest common factor of 2968/515,9023/769 = [GCF of 2968,9023]/[LCM of 515,769]= 7/396035
Therefore, the GCF of 2968/515,9023/769 is 7/396035.
To find the highest common factor of 2968,9023, we have to find the factors of both numbers and list the highest common factor.
The factors of 2968 are 1, 2, 4, 7, 8, 14, 28, 53, 56, 106, 212, 371, 424, 742, 1484, 2968
The factors of 9023 are 1, 7, 1289, 9023
The HCF of 2968,9023 is 7.
Lets's calculate GCF of 2968,9023
| 7 | 2968, 9023 |
| 424, 1289 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2968,9023 By Matching Biggest Common Factor Method
Now, list down the factors of 2968
:1,2,4,7,8,14,28,53,56,106,212,371,424,742,1484,2968
Now, list down the factors of 9023
:1,7,1289,9023
Greatest Common Factor
We found the factors 2968,9023 . The biggest common factor number is the GCF number.
So the greatest common factor 2968,9023 is 7.
Lets's calculate LCM of 515,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 396035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/396035
Therefore, the GCF of Fractions 2968/515,9023/769 is 7/396035
Least Common Multiple of 515,769 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 515,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(515,769) x common factors =1 x 1 = 1
LCM(515,769) = ( 515 × 769 ) / 1
LCM(515,769) = 396035 / 1
LCM(515,769) = 396035
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FAQs on GCF of Fractions of 2968/515, 9023/769
1. What is the HCF of 2968,9023?
The HCF of 2968,9023 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 2968/515, 9023/769?
Answer: GCF of Numerators as per given numbers 2968/515, 9023/769 is
GCF of Numerators i.e. for 2968,9023 is 7
LCM of denominators i.e. for 515,769 is 396035.
Thus, GCF of Fractions is 7/396035.Finally, GCF of Fractions for 2968/515, 9023/769 is 7/396035.