GCF of 2948/619, 2314/997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2948/619, 2314/997 i.e 2/617143 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2948/619, 2314/997.
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 2948/619,2314/997?
Given fractions are 2948/619,2314/997
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 2948/619,2314/997, numerators are 2948,2314
Denominators are 619,997
The GCF of 2948,2314 is 2 .
LCM of 619,997 is 617143.
The greatest common factor of 2948/619,2314/997 = [GCF of 2948,2314]/[LCM of 619,997]= 2/617143
Therefore, the GCF of 2948/619,2314/997 is 2/617143.
To find the highest common factor of 2948,2314, we have to find the factors of both numbers and list the highest common factor.
The factors of 2948 are 1, 2, 4, 11, 22, 44, 67, 134, 268, 737, 1474, 2948
The factors of 2314 are 1, 2, 13, 26, 89, 178, 1157, 2314
The HCF of 2948,2314 is 2.
Lets's calculate GCF of 2948,2314
| 2 | 2948, 2314 |
| 1474, 1157 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2948,2314 By Matching Biggest Common Factor Method
Now, list down the factors of 2948
:1,2,4,11,22,44,67,134,268,737,1474,2948
Now, list down the factors of 2314
:1,2,13,26,89,178,1157,2314
Greatest Common Factor
We found the factors 2948,2314 . The biggest common factor number is the GCF number.
So the greatest common factor 2948,2314 is 2.
Lets's calculate LCM of 619,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 617143
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/617143
Therefore, the GCF of Fractions 2948/619,2314/997 is 2/617143
Least Common Multiple of 619,997 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 619,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,997) x common factors =1 x 1 = 1
LCM(619,997) = ( 619 × 997 ) / 1
LCM(619,997) = 617143 / 1
LCM(619,997) = 617143
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FAQs on GCF of Fractions of 2948/619, 2314/997
1. What is the HCF of 2948,2314?
The HCF of 2948,2314 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 2948/619, 2314/997?
Answer: GCF of Numerators as per given numbers 2948/619, 2314/997 is
GCF of Numerators i.e. for 2948,2314 is 2
LCM of denominators i.e. for 619,997 is 617143.
Thus, GCF of Fractions is 2/617143.Finally, GCF of Fractions for 2948/619, 2314/997 is 2/617143.