GCF of 8575/773, 2450/5190
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8575/773, 2450/5190 i.e 1225/4011870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8575/773, 2450/5190.
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 8575/773,2450/5190?
Given fractions are 8575/773,2450/5190
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 8575/773,2450/5190, numerators are 8575,2450
Denominators are 773,5190
The GCF of 8575,2450 is 1225 .
LCM of 773,5190 is 4011870.
The greatest common factor of 8575/773,2450/5190 = [GCF of 8575,2450]/[LCM of 773,5190]= 1225/4011870
Therefore, the GCF of 8575/773,2450/5190 is 1225/4011870.
To find the highest common factor of 8575,2450, we have to find the factors of both numbers and list the highest common factor.
The factors of 8575 are 1, 5, 7, 25, 35, 49, 175, 245, 343, 1225, 1715, 8575
The factors of 2450 are 1, 2, 5, 7, 10, 14, 25, 35, 49, 50, 70, 98, 175, 245, 350, 490, 1225, 2450
The HCF of 8575,2450 is 1225.
Lets's calculate GCF of 8575,2450
| 5 | 8575, 2450 |
| 5 | 1715, 490 |
| 7 | 343, 98 |
| 7 | 49, 14 |
| 7, 2 |
∴ So the GCF of the given numbers is 5 x 5 x 7 x 7 = 1225
Greatest Common Factor of 8575,2450 By Matching Biggest Common Factor Method
Now, list down the factors of 8575
:1,5,7,25,35,49,175,245,343,1225,1715,8575
Now, list down the factors of 2450
:1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Greatest Common Factor
We found the factors 8575,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 8575,2450 is 1225.
Lets's calculate LCM of 773,5190
Given numbers has no common factors except 1. So, there LCM is their product i.e 4011870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1225/4011870
Therefore, the GCF of Fractions 8575/773,2450/5190 is 1225/4011870
Least Common Multiple of 773,5190 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 773,5190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,5190) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,5190) x common factors =1 x 1 = 1
LCM(773,5190) = ( 773 × 5190 ) / 1
LCM(773,5190) = 4011870 / 1
LCM(773,5190) = 4011870
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FAQs on GCF of Fractions of 8575/773, 2450/5190
1. What is the HCF of 8575,2450?
The HCF of 8575,2450 is 1225
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 8575/773, 2450/5190?
Answer: GCF of Numerators as per given numbers 8575/773, 2450/5190 is
GCF of Numerators i.e. for 8575,2450 is 1225
LCM of denominators i.e. for 773,5190 is 4011870.
Thus, GCF of Fractions is 1225/4011870.Finally, GCF of Fractions for 8575/773, 2450/5190 is 1225/4011870.