GCF of 9484/694, 5120/7758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9484/694, 5120/7758 i.e 4/2692026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9484/694, 5120/7758.
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 9484/694,5120/7758?
Given fractions are 9484/694,5120/7758
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 9484/694,5120/7758, numerators are 9484,5120
Denominators are 694,7758
The GCF of 9484,5120 is 4 .
LCM of 694,7758 is 2692026.
The greatest common factor of 9484/694,5120/7758 = [GCF of 9484,5120]/[LCM of 694,7758]= 4/2692026
Therefore, the GCF of 9484/694,5120/7758 is 4/2692026.
To find the highest common factor of 9484,5120, we have to find the factors of both numbers and list the highest common factor.
The factors of 9484 are 1, 2, 4, 2371, 4742, 9484
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The HCF of 9484,5120 is 4.
Lets's calculate GCF of 9484,5120
| 2 | 9484, 5120 |
| 2 | 4742, 2560 |
| 2371, 1280 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9484,5120 By Matching Biggest Common Factor Method
Now, list down the factors of 9484
:1,2,4,2371,4742,9484
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Greatest Common Factor
We found the factors 9484,5120 . The biggest common factor number is the GCF number.
So the greatest common factor 9484,5120 is 4.
Lets's calculate LCM of 694,7758
| 2 | 694, 7758 |
| 347, 3879 |
∴ So the LCM of the given numbers is 2 x 347 x 3879 = 2692026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2692026
Therefore, the GCF of Fractions 9484/694,5120/7758 is 4/2692026
Least Common Multiple of 694,7758 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 694,7758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,7758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,7758) x common factors =2 x 1 = 2
LCM(694,7758) = ( 694 × 7758 ) / 2
LCM(694,7758) = 5384052 / 2
LCM(694,7758) = 2692026
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FAQs on GCF of Fractions of 9484/694, 5120/7758
1. What is the HCF of 9484,5120?
The HCF of 9484,5120 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 9484/694, 5120/7758?
Answer: GCF of Numerators as per given numbers 9484/694, 5120/7758 is
GCF of Numerators i.e. for 9484,5120 is 4
LCM of denominators i.e. for 694,7758 is 2692026.
Thus, GCF of Fractions is 4/2692026.Finally, GCF of Fractions for 9484/694, 5120/7758 is 4/2692026.