GCF of 3617/170, 9357/828
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3617/170, 9357/828 i.e 1/70380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3617/170, 9357/828.
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 3617/170,9357/828?
Given fractions are 3617/170,9357/828
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 3617/170,9357/828, numerators are 3617,9357
Denominators are 170,828
The GCF of 3617,9357 is 1 .
LCM of 170,828 is 70380.
The greatest common factor of 3617/170,9357/828 = [GCF of 3617,9357]/[LCM of 170,828]= 1/70380
Therefore, the GCF of 3617/170,9357/828 is 1/70380.
To find the highest common factor of 3617,9357, we have to find the factors of both numbers and list the highest common factor.
The factors of 3617 are 1, 3617
The factors of 9357 are 1, 3, 3119, 9357
The HCF of 3617,9357 is 1.
Lets's calculate GCF of 3617,9357
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3617,9357 By Matching Biggest Common Factor Method
Now, list down the factors of 3617
:1,3617
Now, list down the factors of 9357
:1,3,3119,9357
Greatest Common Factor
We found the factors 3617,9357 . The biggest common factor number is the GCF number.
So the greatest common factor 3617,9357 is 1.
Lets's calculate LCM of 170,828
| 2 | 170, 828 |
| 85, 414 |
∴ So the LCM of the given numbers is 2 x 85 x 414 = 70380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70380
Therefore, the GCF of Fractions 3617/170,9357/828 is 1/70380
Least Common Multiple of 170,828 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 170,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,828) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(170,828) x common factors =2 x 1 = 2
LCM(170,828) = ( 170 × 828 ) / 2
LCM(170,828) = 140760 / 2
LCM(170,828) = 70380
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FAQs on GCF of Fractions of 3617/170, 9357/828
1. What is the HCF of 3617,9357?
The HCF of 3617,9357 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 3617/170, 9357/828?
Answer: GCF of Numerators as per given numbers 3617/170, 9357/828 is
GCF of Numerators i.e. for 3617,9357 is 1
LCM of denominators i.e. for 170,828 is 70380.
Thus, GCF of Fractions is 1/70380.Finally, GCF of Fractions for 3617/170, 9357/828 is 1/70380.