GCF of 7199/110, 6337/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7199/110, 6337/435 i.e 1/9570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7199/110, 6337/435.
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 7199/110,6337/435?
Given fractions are 7199/110,6337/435
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 7199/110,6337/435, numerators are 7199,6337
Denominators are 110,435
The GCF of 7199,6337 is 1 .
LCM of 110,435 is 9570.
The greatest common factor of 7199/110,6337/435 = [GCF of 7199,6337]/[LCM of 110,435]= 1/9570
Therefore, the GCF of 7199/110,6337/435 is 1/9570.
To find the highest common factor of 7199,6337, we have to find the factors of both numbers and list the highest common factor.
The factors of 7199 are 1, 23, 313, 7199
The factors of 6337 are 1, 6337
The HCF of 7199,6337 is 1.
Lets's calculate GCF of 7199,6337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7199,6337 By Matching Biggest Common Factor Method
Now, list down the factors of 7199
:1,23,313,7199
Now, list down the factors of 6337
:1,6337
Greatest Common Factor
We found the factors 7199,6337 . The biggest common factor number is the GCF number.
So the greatest common factor 7199,6337 is 1.
Lets's calculate LCM of 110,435
| 5 | 110, 435 |
| 22, 87 |
∴ So the LCM of the given numbers is 5 x 22 x 87 = 9570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9570
Therefore, the GCF of Fractions 7199/110,6337/435 is 1/9570
Least Common Multiple of 110,435 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 110,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,435) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(110,435) x common factors =5 x 1 = 5
LCM(110,435) = ( 110 × 435 ) / 5
LCM(110,435) = 47850 / 5
LCM(110,435) = 9570
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FAQs on GCF of Fractions of 7199/110, 6337/435
1. What is the HCF of 7199,6337?
The HCF of 7199,6337 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 7199/110, 6337/435?
Answer: GCF of Numerators as per given numbers 7199/110, 6337/435 is
GCF of Numerators i.e. for 7199,6337 is 1
LCM of denominators i.e. for 110,435 is 9570.
Thus, GCF of Fractions is 1/9570.Finally, GCF of Fractions for 7199/110, 6337/435 is 1/9570.