GCF of 7357/609, 7882/613
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7357/609, 7882/613 i.e 7/373317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7357/609, 7882/613.
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 7357/609,7882/613?
Given fractions are 7357/609,7882/613
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 7357/609,7882/613, numerators are 7357,7882
Denominators are 609,613
The GCF of 7357,7882 is 7 .
LCM of 609,613 is 373317.
The greatest common factor of 7357/609,7882/613 = [GCF of 7357,7882]/[LCM of 609,613]= 7/373317
Therefore, the GCF of 7357/609,7882/613 is 7/373317.
To find the highest common factor of 7357,7882, we have to find the factors of both numbers and list the highest common factor.
The factors of 7357 are 1, 7, 1051, 7357
The factors of 7882 are 1, 2, 7, 14, 563, 1126, 3941, 7882
The HCF of 7357,7882 is 7.
Lets's calculate GCF of 7357,7882
| 7 | 7357, 7882 |
| 1051, 1126 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7357,7882 By Matching Biggest Common Factor Method
Now, list down the factors of 7357
:1,7,1051,7357
Now, list down the factors of 7882
:1,2,7,14,563,1126,3941,7882
Greatest Common Factor
We found the factors 7357,7882 . The biggest common factor number is the GCF number.
So the greatest common factor 7357,7882 is 7.
Lets's calculate LCM of 609,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 373317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/373317
Therefore, the GCF of Fractions 7357/609,7882/613 is 7/373317
Least Common Multiple of 609,613 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 609,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,613) x common factors =1 x 1 = 1
LCM(609,613) = ( 609 × 613 ) / 1
LCM(609,613) = 373317 / 1
LCM(609,613) = 373317
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FAQs on GCF of Fractions of 7357/609, 7882/613
1. What is the HCF of 7357,7882?
The HCF of 7357,7882 is 7
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 7357/609, 7882/613?
Answer: GCF of Numerators as per given numbers 7357/609, 7882/613 is
GCF of Numerators i.e. for 7357,7882 is 7
LCM of denominators i.e. for 609,613 is 373317.
Thus, GCF of Fractions is 7/373317.Finally, GCF of Fractions for 7357/609, 7882/613 is 7/373317.