GCF of 4640/400, 6964/5076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4640/400, 6964/5076 i.e 4/507600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4640/400, 6964/5076.
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 4640/400,6964/5076?
Given fractions are 4640/400,6964/5076
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 4640/400,6964/5076, numerators are 4640,6964
Denominators are 400,5076
The GCF of 4640,6964 is 4 .
LCM of 400,5076 is 507600.
The greatest common factor of 4640/400,6964/5076 = [GCF of 4640,6964]/[LCM of 400,5076]= 4/507600
Therefore, the GCF of 4640/400,6964/5076 is 4/507600.
To find the highest common factor of 4640,6964, we have to find the factors of both numbers and list the highest common factor.
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The factors of 6964 are 1, 2, 4, 1741, 3482, 6964
The HCF of 4640,6964 is 4.
Lets's calculate GCF of 4640,6964
| 2 | 4640, 6964 |
| 2 | 2320, 3482 |
| 1160, 1741 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4640,6964 By Matching Biggest Common Factor Method
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Now, list down the factors of 6964
:1,2,4,1741,3482,6964
Greatest Common Factor
We found the factors 4640,6964 . The biggest common factor number is the GCF number.
So the greatest common factor 4640,6964 is 4.
Lets's calculate LCM of 400,5076
| 2 | 400, 5076 |
| 2 | 200, 2538 |
| 100, 1269 |
∴ So the LCM of the given numbers is 2 x 2 x 100 x 1269 = 507600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/507600
Therefore, the GCF of Fractions 4640/400,6964/5076 is 4/507600
Least Common Multiple of 400,5076 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 400,5076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,5076) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(400,5076) x common factors =4 x 1 = 4
LCM(400,5076) = ( 400 × 5076 ) / 4
LCM(400,5076) = 2030400 / 4
LCM(400,5076) = 507600
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FAQs on GCF of Fractions of 4640/400, 6964/5076
1. What is the HCF of 4640,6964?
The HCF of 4640,6964 is 4
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 4640/400, 6964/5076?
Answer: GCF of Numerators as per given numbers 4640/400, 6964/5076 is
GCF of Numerators i.e. for 4640,6964 is 4
LCM of denominators i.e. for 400,5076 is 507600.
Thus, GCF of Fractions is 4/507600.Finally, GCF of Fractions for 4640/400, 6964/5076 is 4/507600.