GCF of 7450/371, 2975/4414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7450/371, 2975/4414 i.e 25/1637594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7450/371, 2975/4414.
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 7450/371,2975/4414?
Given fractions are 7450/371,2975/4414
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 7450/371,2975/4414, numerators are 7450,2975
Denominators are 371,4414
The GCF of 7450,2975 is 25 .
LCM of 371,4414 is 1637594.
The greatest common factor of 7450/371,2975/4414 = [GCF of 7450,2975]/[LCM of 371,4414]= 25/1637594
Therefore, the GCF of 7450/371,2975/4414 is 25/1637594.
To find the highest common factor of 7450,2975, 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 2975 are 1, 5, 7, 17, 25, 35, 85, 119, 175, 425, 595, 2975
The HCF of 7450,2975 is 25.
Lets's calculate GCF of 7450,2975
| 5 | 7450, 2975 |
| 5 | 1490, 595 |
| 298, 119 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7450,2975 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 2975
:1,5,7,17,25,35,85,119,175,425,595,2975
Greatest Common Factor
We found the factors 7450,2975 . The biggest common factor number is the GCF number.
So the greatest common factor 7450,2975 is 25.
Lets's calculate LCM of 371,4414
Given numbers has no common factors except 1. So, there LCM is their product i.e 1637594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/1637594
Therefore, the GCF of Fractions 7450/371,2975/4414 is 25/1637594
Least Common Multiple of 371,4414 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 371,4414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(371,4414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(371,4414) x common factors =1 x 1 = 1
LCM(371,4414) = ( 371 × 4414 ) / 1
LCM(371,4414) = 1637594 / 1
LCM(371,4414) = 1637594
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FAQs on GCF of Fractions of 7450/371, 2975/4414
1. What is the HCF of 7450,2975?
The HCF of 7450,2975 is 25
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 7450/371, 2975/4414?
Answer: GCF of Numerators as per given numbers 7450/371, 2975/4414 is
GCF of Numerators i.e. for 7450,2975 is 25
LCM of denominators i.e. for 371,4414 is 1637594.
Thus, GCF of Fractions is 25/1637594.Finally, GCF of Fractions for 7450/371, 2975/4414 is 25/1637594.