GCF of 5628/35, 5892/995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5628/35, 5892/995 i.e 12/6965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5628/35, 5892/995.
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 5628/35,5892/995?
Given fractions are 5628/35,5892/995
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 5628/35,5892/995, numerators are 5628,5892
Denominators are 35,995
The GCF of 5628,5892 is 12 .
LCM of 35,995 is 6965.
The greatest common factor of 5628/35,5892/995 = [GCF of 5628,5892]/[LCM of 35,995]= 12/6965
Therefore, the GCF of 5628/35,5892/995 is 12/6965.
To find the highest common factor of 5628,5892, we have to find the factors of both numbers and list the highest common factor.
The factors of 5628 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814, 5628
The factors of 5892 are 1, 2, 3, 4, 6, 12, 491, 982, 1473, 1964, 2946, 5892
The HCF of 5628,5892 is 12.
Lets's calculate GCF of 5628,5892
| 2 | 5628, 5892 |
| 2 | 2814, 2946 |
| 3 | 1407, 1473 |
| 469, 491 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 5628,5892 By Matching Biggest Common Factor Method
Now, list down the factors of 5628
:1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628
Now, list down the factors of 5892
:1,2,3,4,6,12,491,982,1473,1964,2946,5892
Greatest Common Factor
We found the factors 5628,5892 . The biggest common factor number is the GCF number.
So the greatest common factor 5628,5892 is 12.
Lets's calculate LCM of 35,995
| 5 | 35, 995 |
| 7, 199 |
∴ So the LCM of the given numbers is 5 x 7 x 199 = 6965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6965
Therefore, the GCF of Fractions 5628/35,5892/995 is 12/6965
Least Common Multiple of 35,995 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 35,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,995) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(35,995) x common factors =5 x 1 = 5
LCM(35,995) = ( 35 × 995 ) / 5
LCM(35,995) = 34825 / 5
LCM(35,995) = 6965
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FAQs on GCF of Fractions of 5628/35, 5892/995
1. What is the HCF of 5628,5892?
The HCF of 5628,5892 is 12
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 5628/35, 5892/995?
Answer: GCF of Numerators as per given numbers 5628/35, 5892/995 is
GCF of Numerators i.e. for 5628,5892 is 12
LCM of denominators i.e. for 35,995 is 6965.
Thus, GCF of Fractions is 12/6965.Finally, GCF of Fractions for 5628/35, 5892/995 is 12/6965.