GCF of 8602/496, 5628/1402
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8602/496, 5628/1402 i.e 2/347696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8602/496, 5628/1402.
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 8602/496,5628/1402?
Given fractions are 8602/496,5628/1402
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 8602/496,5628/1402, numerators are 8602,5628
Denominators are 496,1402
The GCF of 8602,5628 is 2 .
LCM of 496,1402 is 347696.
The greatest common factor of 8602/496,5628/1402 = [GCF of 8602,5628]/[LCM of 496,1402]= 2/347696
Therefore, the GCF of 8602/496,5628/1402 is 2/347696.
To find the highest common factor of 8602,5628, we have to find the factors of both numbers and list the highest common factor.
The factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602
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 HCF of 8602,5628 is 2.
Lets's calculate GCF of 8602,5628
| 2 | 8602, 5628 |
| 4301, 2814 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8602,5628 By Matching Biggest Common Factor Method
Now, list down the factors of 8602
:1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602
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
Greatest Common Factor
We found the factors 8602,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 8602,5628 is 2.
Lets's calculate LCM of 496,1402
| 2 | 496, 1402 |
| 248, 701 |
∴ So the LCM of the given numbers is 2 x 248 x 701 = 347696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/347696
Therefore, the GCF of Fractions 8602/496,5628/1402 is 2/347696
Least Common Multiple of 496,1402 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 496,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,1402) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(496,1402) x common factors =2 x 1 = 2
LCM(496,1402) = ( 496 × 1402 ) / 2
LCM(496,1402) = 695392 / 2
LCM(496,1402) = 347696
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FAQs on GCF of Fractions of 8602/496, 5628/1402
1. What is the HCF of 8602,5628?
The HCF of 8602,5628 is 2
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 8602/496, 5628/1402?
Answer: GCF of Numerators as per given numbers 8602/496, 5628/1402 is
GCF of Numerators i.e. for 8602,5628 is 2
LCM of denominators i.e. for 496,1402 is 347696.
Thus, GCF of Fractions is 2/347696.Finally, GCF of Fractions for 8602/496, 5628/1402 is 2/347696.