GCF of 7850/350, 8774/7405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7850/350, 8774/7405 i.e 2/518350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7850/350, 8774/7405.
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 7850/350,8774/7405?
Given fractions are 7850/350,8774/7405
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 7850/350,8774/7405, numerators are 7850,8774
Denominators are 350,7405
The GCF of 7850,8774 is 2 .
LCM of 350,7405 is 518350.
The greatest common factor of 7850/350,8774/7405 = [GCF of 7850,8774]/[LCM of 350,7405]= 2/518350
Therefore, the GCF of 7850/350,8774/7405 is 2/518350.
To find the highest common factor of 7850,8774, we have to find the factors of both numbers and list the highest common factor.
The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 7850,8774 is 2.
Lets's calculate GCF of 7850,8774
| 2 | 7850, 8774 |
| 3925, 4387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7850,8774 By Matching Biggest Common Factor Method
Now, list down the factors of 7850
:1,2,5,10,25,50,157,314,785,1570,3925,7850
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 7850,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 7850,8774 is 2.
Lets's calculate LCM of 350,7405
| 5 | 350, 7405 |
| 70, 1481 |
∴ So the LCM of the given numbers is 5 x 70 x 1481 = 518350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/518350
Therefore, the GCF of Fractions 7850/350,8774/7405 is 2/518350
Least Common Multiple of 350,7405 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 350,7405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(350,7405) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(350,7405) x common factors =5 x 1 = 5
LCM(350,7405) = ( 350 × 7405 ) / 5
LCM(350,7405) = 2591750 / 5
LCM(350,7405) = 518350
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FAQs on GCF of Fractions of 7850/350, 8774/7405
1. What is the HCF of 7850,8774?
The HCF of 7850,8774 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 7850/350, 8774/7405?
Answer: GCF of Numerators as per given numbers 7850/350, 8774/7405 is
GCF of Numerators i.e. for 7850,8774 is 2
LCM of denominators i.e. for 350,7405 is 518350.
Thus, GCF of Fractions is 2/518350.Finally, GCF of Fractions for 7850/350, 8774/7405 is 2/518350.