GCF of 7933/646, 2944/9948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7933/646, 2944/9948 i.e 1/3213204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7933/646, 2944/9948.
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 7933/646,2944/9948?
Given fractions are 7933/646,2944/9948
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 7933/646,2944/9948, numerators are 7933,2944
Denominators are 646,9948
The GCF of 7933,2944 is 1 .
LCM of 646,9948 is 3213204.
The greatest common factor of 7933/646,2944/9948 = [GCF of 7933,2944]/[LCM of 646,9948]= 1/3213204
Therefore, the GCF of 7933/646,2944/9948 is 1/3213204.
To find the highest common factor of 7933,2944, we have to find the factors of both numbers and list the highest common factor.
The factors of 7933 are 1, 7933
The factors of 2944 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 368, 736, 1472, 2944
The HCF of 7933,2944 is 1.
Lets's calculate GCF of 7933,2944
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7933,2944 By Matching Biggest Common Factor Method
Now, list down the factors of 7933
:1,7933
Now, list down the factors of 2944
:1,2,4,8,16,23,32,46,64,92,128,184,368,736,1472,2944
Greatest Common Factor
We found the factors 7933,2944 . The biggest common factor number is the GCF number.
So the greatest common factor 7933,2944 is 1.
Lets's calculate LCM of 646,9948
| 2 | 646, 9948 |
| 323, 4974 |
∴ So the LCM of the given numbers is 2 x 323 x 4974 = 3213204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3213204
Therefore, the GCF of Fractions 7933/646,2944/9948 is 1/3213204
Least Common Multiple of 646,9948 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 646,9948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,9948) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,9948) x common factors =2 x 1 = 2
LCM(646,9948) = ( 646 × 9948 ) / 2
LCM(646,9948) = 6426408 / 2
LCM(646,9948) = 3213204
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FAQs on GCF of Fractions of 7933/646, 2944/9948
1. What is the HCF of 7933,2944?
The HCF of 7933,2944 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 7933/646, 2944/9948?
Answer: GCF of Numerators as per given numbers 7933/646, 2944/9948 is
GCF of Numerators i.e. for 7933,2944 is 1
LCM of denominators i.e. for 646,9948 is 3213204.
Thus, GCF of Fractions is 1/3213204.Finally, GCF of Fractions for 7933/646, 2944/9948 is 1/3213204.