GCF of 850/74, 420/442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 850/74, 420/442 i.e 10/16354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/74, 420/442.
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 850/74,420/442?
Given fractions are 850/74,420/442
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 850/74,420/442, numerators are 850,420
Denominators are 74,442
The GCF of 850,420 is 10 .
LCM of 74,442 is 16354.
The greatest common factor of 850/74,420/442 = [GCF of 850,420]/[LCM of 74,442]= 10/16354
Therefore, the GCF of 850/74,420/442 is 10/16354.
To find the highest common factor of 850,420, we have to find the factors of both numbers and list the highest common factor.
The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
The factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
The HCF of 850,420 is 10.
Lets's calculate GCF of 850,420
| 2 | 850, 420 |
| 5 | 425, 210 |
| 85, 42 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 850,420 By Matching Biggest Common Factor Method
Now, list down the factors of 850
:1,2,5,10,17,25,34,50,85,170,425,850
Now, list down the factors of 420
:1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Greatest Common Factor
We found the factors 850,420 . The biggest common factor number is the GCF number.
So the greatest common factor 850,420 is 10.
Lets's calculate LCM of 74,442
| 2 | 74, 442 |
| 37, 221 |
∴ So the LCM of the given numbers is 2 x 37 x 221 = 16354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/16354
Therefore, the GCF of Fractions 850/74,420/442 is 10/16354
Least Common Multiple of 74,442 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 74,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,442) x common factors =2 x 1 = 2
LCM(74,442) = ( 74 × 442 ) / 2
LCM(74,442) = 32708 / 2
LCM(74,442) = 16354
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FAQs on GCF of Fractions of 850/74, 420/442
1. What is the HCF of 850,420?
The HCF of 850,420 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 850/74, 420/442?
Answer: GCF of Numerators as per given numbers 850/74, 420/442 is
GCF of Numerators i.e. for 850,420 is 10
LCM of denominators i.e. for 74,442 is 16354.
Thus, GCF of Fractions is 10/16354.Finally, GCF of Fractions for 850/74, 420/442 is 10/16354.