GCF of 1420/518, 8850/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1420/518, 8850/5956 i.e 10/1542604 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1420/518, 8850/5956.
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 1420/518,8850/5956?
Given fractions are 1420/518,8850/5956
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 1420/518,8850/5956, numerators are 1420,8850
Denominators are 518,5956
The GCF of 1420,8850 is 10 .
LCM of 518,5956 is 1542604.
The greatest common factor of 1420/518,8850/5956 = [GCF of 1420,8850]/[LCM of 518,5956]= 10/1542604
Therefore, the GCF of 1420/518,8850/5956 is 10/1542604.
To find the highest common factor of 1420,8850, we have to find the factors of both numbers and list the highest common factor.
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The factors of 8850 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 59, 75, 118, 150, 177, 295, 354, 590, 885, 1475, 1770, 2950, 4425, 8850
The HCF of 1420,8850 is 10.
Lets's calculate GCF of 1420,8850
| 2 | 1420, 8850 |
| 5 | 710, 4425 |
| 142, 885 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1420,8850 By Matching Biggest Common Factor Method
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Now, list down the factors of 8850
:1,2,3,5,6,10,15,25,30,50,59,75,118,150,177,295,354,590,885,1475,1770,2950,4425,8850
Greatest Common Factor
We found the factors 1420,8850 . The biggest common factor number is the GCF number.
So the greatest common factor 1420,8850 is 10.
Lets's calculate LCM of 518,5956
| 2 | 518, 5956 |
| 259, 2978 |
∴ So the LCM of the given numbers is 2 x 259 x 2978 = 1542604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1542604
Therefore, the GCF of Fractions 1420/518,8850/5956 is 10/1542604
Least Common Multiple of 518,5956 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 518,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,5956) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,5956) x common factors =2 x 1 = 2
LCM(518,5956) = ( 518 × 5956 ) / 2
LCM(518,5956) = 3085208 / 2
LCM(518,5956) = 1542604
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FAQs on GCF of Fractions of 1420/518, 8850/5956
1. What is the HCF of 1420,8850?
The HCF of 1420,8850 is 10
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 1420/518, 8850/5956?
Answer: GCF of Numerators as per given numbers 1420/518, 8850/5956 is
GCF of Numerators i.e. for 1420,8850 is 10
LCM of denominators i.e. for 518,5956 is 1542604.
Thus, GCF of Fractions is 10/1542604.Finally, GCF of Fractions for 1420/518, 8850/5956 is 10/1542604.