GCF of 8528/426, 5357/6960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8528/426, 5357/6960 i.e 1/494160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8528/426, 5357/6960.
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 8528/426,5357/6960?
Given fractions are 8528/426,5357/6960
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 8528/426,5357/6960, numerators are 8528,5357
Denominators are 426,6960
The GCF of 8528,5357 is 1 .
LCM of 426,6960 is 494160.
The greatest common factor of 8528/426,5357/6960 = [GCF of 8528,5357]/[LCM of 426,6960]= 1/494160
Therefore, the GCF of 8528/426,5357/6960 is 1/494160.
To find the highest common factor of 8528,5357, we have to find the factors of both numbers and list the highest common factor.
The factors of 8528 are 1, 2, 4, 8, 13, 16, 26, 41, 52, 82, 104, 164, 208, 328, 533, 656, 1066, 2132, 4264, 8528
The factors of 5357 are 1, 11, 487, 5357
The HCF of 8528,5357 is 1.
Lets's calculate GCF of 8528,5357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8528,5357 By Matching Biggest Common Factor Method
Now, list down the factors of 8528
:1,2,4,8,13,16,26,41,52,82,104,164,208,328,533,656,1066,2132,4264,8528
Now, list down the factors of 5357
:1,11,487,5357
Greatest Common Factor
We found the factors 8528,5357 . The biggest common factor number is the GCF number.
So the greatest common factor 8528,5357 is 1.
Lets's calculate LCM of 426,6960
| 2 | 426, 6960 |
| 3 | 213, 3480 |
| 71, 1160 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 1160 = 494160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494160
Therefore, the GCF of Fractions 8528/426,5357/6960 is 1/494160
Least Common Multiple of 426,6960 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 426,6960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,6960) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(426,6960) x common factors =6 x 1 = 6
LCM(426,6960) = ( 426 × 6960 ) / 6
LCM(426,6960) = 2964960 / 6
LCM(426,6960) = 494160
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FAQs on GCF of Fractions of 8528/426, 5357/6960
1. What is the HCF of 8528,5357?
The HCF of 8528,5357 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 8528/426, 5357/6960?
Answer: GCF of Numerators as per given numbers 8528/426, 5357/6960 is
GCF of Numerators i.e. for 8528,5357 is 1
LCM of denominators i.e. for 426,6960 is 494160.
Thus, GCF of Fractions is 1/494160.Finally, GCF of Fractions for 8528/426, 5357/6960 is 1/494160.