GCF of 2962/657, 5312/4865
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2962/657, 5312/4865 i.e 2/3196305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2962/657, 5312/4865.
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 2962/657,5312/4865?
Given fractions are 2962/657,5312/4865
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 2962/657,5312/4865, numerators are 2962,5312
Denominators are 657,4865
The GCF of 2962,5312 is 2 .
LCM of 657,4865 is 3196305.
The greatest common factor of 2962/657,5312/4865 = [GCF of 2962,5312]/[LCM of 657,4865]= 2/3196305
Therefore, the GCF of 2962/657,5312/4865 is 2/3196305.
To find the highest common factor of 2962,5312, we have to find the factors of both numbers and list the highest common factor.
The factors of 2962 are 1, 2, 1481, 2962
The factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312
The HCF of 2962,5312 is 2.
Lets's calculate GCF of 2962,5312
| 2 | 2962, 5312 |
| 1481, 2656 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2962,5312 By Matching Biggest Common Factor Method
Now, list down the factors of 2962
:1,2,1481,2962
Now, list down the factors of 5312
:1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312
Greatest Common Factor
We found the factors 2962,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 2962,5312 is 2.
Lets's calculate LCM of 657,4865
Given numbers has no common factors except 1. So, there LCM is their product i.e 3196305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3196305
Therefore, the GCF of Fractions 2962/657,5312/4865 is 2/3196305
Least Common Multiple of 657,4865 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 657,4865 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,4865) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(657,4865) x common factors =1 x 1 = 1
LCM(657,4865) = ( 657 × 4865 ) / 1
LCM(657,4865) = 3196305 / 1
LCM(657,4865) = 3196305
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FAQs on GCF of Fractions of 2962/657, 5312/4865
1. What is the HCF of 2962,5312?
The HCF of 2962,5312 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 2962/657, 5312/4865?
Answer: GCF of Numerators as per given numbers 2962/657, 5312/4865 is
GCF of Numerators i.e. for 2962,5312 is 2
LCM of denominators i.e. for 657,4865 is 3196305.
Thus, GCF of Fractions is 2/3196305.Finally, GCF of Fractions for 2962/657, 5312/4865 is 2/3196305.