GCF of 7450/850, 9201/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7450/850, 9201/284 i.e 1/120700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7450/850, 9201/284.
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 7450/850,9201/284?
Given fractions are 7450/850,9201/284
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 7450/850,9201/284, numerators are 7450,9201
Denominators are 850,284
The GCF of 7450,9201 is 1 .
LCM of 850,284 is 120700.
The greatest common factor of 7450/850,9201/284 = [GCF of 7450,9201]/[LCM of 850,284]= 1/120700
Therefore, the GCF of 7450/850,9201/284 is 1/120700.
To find the highest common factor of 7450,9201, we have to find the factors of both numbers and list the highest common factor.
The factors of 7450 are 1, 2, 5, 10, 25, 50, 149, 298, 745, 1490, 3725, 7450
The factors of 9201 are 1, 3, 3067, 9201
The HCF of 7450,9201 is 1.
Lets's calculate GCF of 7450,9201
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7450,9201 By Matching Biggest Common Factor Method
Now, list down the factors of 7450
:1,2,5,10,25,50,149,298,745,1490,3725,7450
Now, list down the factors of 9201
:1,3,3067,9201
Greatest Common Factor
We found the factors 7450,9201 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,9201 is 1.
Lets's calculate LCM of 850,284
| 2 | 850, 284 |
| 425, 142 |
∴ So the LCM of the given numbers is 2 x 425 x 142 = 120700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120700
Therefore, the GCF of Fractions 7450/850,9201/284 is 1/120700
Least Common Multiple of 850,284 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 850,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,284) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(850,284) x common factors =2 x 1 = 2
LCM(850,284) = ( 850 × 284 ) / 2
LCM(850,284) = 241400 / 2
LCM(850,284) = 120700
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FAQs on GCF of Fractions of 7450/850, 9201/284
1. What is the HCF of 7450,9201?
The HCF of 7450,9201 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 7450/850, 9201/284?
Answer: GCF of Numerators as per given numbers 7450/850, 9201/284 is
GCF of Numerators i.e. for 7450,9201 is 1
LCM of denominators i.e. for 850,284 is 120700.
Thus, GCF of Fractions is 1/120700.Finally, GCF of Fractions for 7450/850, 9201/284 is 1/120700.