GCF of 7339/874, 5560/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7339/874, 5560/850 i.e 1/371450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7339/874, 5560/850.
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 7339/874,5560/850?
Given fractions are 7339/874,5560/850
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 7339/874,5560/850, numerators are 7339,5560
Denominators are 874,850
The GCF of 7339,5560 is 1 .
LCM of 874,850 is 371450.
The greatest common factor of 7339/874,5560/850 = [GCF of 7339,5560]/[LCM of 874,850]= 1/371450
Therefore, the GCF of 7339/874,5560/850 is 1/371450.
To find the highest common factor of 7339,5560, we have to find the factors of both numbers and list the highest common factor.
The factors of 7339 are 1, 41, 179, 7339
The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560
The HCF of 7339,5560 is 1.
Lets's calculate GCF of 7339,5560
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7339,5560 By Matching Biggest Common Factor Method
Now, list down the factors of 7339
:1,41,179,7339
Now, list down the factors of 5560
:1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Greatest Common Factor
We found the factors 7339,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 7339,5560 is 1.
Lets's calculate LCM of 874,850
| 2 | 874, 850 |
| 437, 425 |
∴ So the LCM of the given numbers is 2 x 437 x 425 = 371450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371450
Therefore, the GCF of Fractions 7339/874,5560/850 is 1/371450
Least Common Multiple of 874,850 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 874,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,850) x common factors =2 x 1 = 2
LCM(874,850) = ( 874 × 850 ) / 2
LCM(874,850) = 742900 / 2
LCM(874,850) = 371450
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FAQs on GCF of Fractions of 7339/874, 5560/850
1. What is the HCF of 7339,5560?
The HCF of 7339,5560 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 7339/874, 5560/850?
Answer: GCF of Numerators as per given numbers 7339/874, 5560/850 is
GCF of Numerators i.e. for 7339,5560 is 1
LCM of denominators i.e. for 874,850 is 371450.
Thus, GCF of Fractions is 1/371450.Finally, GCF of Fractions for 7339/874, 5560/850 is 1/371450.