GCF of 7675/343, 1250/2191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7675/343, 1250/2191 i.e 25/107359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7675/343, 1250/2191.
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 7675/343,1250/2191?
Given fractions are 7675/343,1250/2191
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 7675/343,1250/2191, numerators are 7675,1250
Denominators are 343,2191
The GCF of 7675,1250 is 25 .
LCM of 343,2191 is 107359.
The greatest common factor of 7675/343,1250/2191 = [GCF of 7675,1250]/[LCM of 343,2191]= 25/107359
Therefore, the GCF of 7675/343,1250/2191 is 25/107359.
To find the highest common factor of 7675,1250, we have to find the factors of both numbers and list the highest common factor.
The factors of 7675 are 1, 5, 25, 307, 1535, 7675
The factors of 1250 are 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250
The HCF of 7675,1250 is 25.
Lets's calculate GCF of 7675,1250
| 5 | 7675, 1250 |
| 5 | 1535, 250 |
| 307, 50 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Greatest Common Factor of 7675,1250 By Matching Biggest Common Factor Method
Now, list down the factors of 7675
:1,5,25,307,1535,7675
Now, list down the factors of 1250
:1,2,5,10,25,50,125,250,625,1250
Greatest Common Factor
We found the factors 7675,1250 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,1250 is 25.
Lets's calculate LCM of 343,2191
| 7 | 343, 2191 |
| 49, 313 |
∴ So the LCM of the given numbers is 7 x 49 x 313 = 107359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 25/107359
Therefore, the GCF of Fractions 7675/343,1250/2191 is 25/107359
Least Common Multiple of 343,2191 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 343,2191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,2191) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(343,2191) x common factors =7 x 1 = 7
LCM(343,2191) = ( 343 × 2191 ) / 7
LCM(343,2191) = 751513 / 7
LCM(343,2191) = 107359
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FAQs on GCF of Fractions of 7675/343, 1250/2191
1. What is the HCF of 7675,1250?
The HCF of 7675,1250 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 7675/343, 1250/2191?
Answer: GCF of Numerators as per given numbers 7675/343, 1250/2191 is
GCF of Numerators i.e. for 7675,1250 is 25
LCM of denominators i.e. for 343,2191 is 107359.
Thus, GCF of Fractions is 25/107359.Finally, GCF of Fractions for 7675/343, 1250/2191 is 25/107359.