GCF of 3607/295, 1761/610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3607/295, 1761/610 i.e 1/35990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3607/295, 1761/610.
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 3607/295,1761/610?
Given fractions are 3607/295,1761/610
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 3607/295,1761/610, numerators are 3607,1761
Denominators are 295,610
The GCF of 3607,1761 is 1 .
LCM of 295,610 is 35990.
The greatest common factor of 3607/295,1761/610 = [GCF of 3607,1761]/[LCM of 295,610]= 1/35990
Therefore, the GCF of 3607/295,1761/610 is 1/35990.
To find the highest common factor of 3607,1761, we have to find the factors of both numbers and list the highest common factor.
The factors of 3607 are 1, 3607
The factors of 1761 are 1, 3, 587, 1761
The HCF of 3607,1761 is 1.
Lets's calculate GCF of 3607,1761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3607,1761 By Matching Biggest Common Factor Method
Now, list down the factors of 3607
:1,3607
Now, list down the factors of 1761
:1,3,587,1761
Greatest Common Factor
We found the factors 3607,1761 . The biggest common factor number is the GCF number.
So the greatest common factor 3607,1761 is 1.
Lets's calculate LCM of 295,610
| 5 | 295, 610 |
| 59, 122 |
∴ So the LCM of the given numbers is 5 x 59 x 122 = 35990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35990
Therefore, the GCF of Fractions 3607/295,1761/610 is 1/35990
Least Common Multiple of 295,610 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 295,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,610) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,610) x common factors =5 x 1 = 5
LCM(295,610) = ( 295 × 610 ) / 5
LCM(295,610) = 179950 / 5
LCM(295,610) = 35990
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FAQs on GCF of Fractions of 3607/295, 1761/610
1. What is the HCF of 3607,1761?
The HCF of 3607,1761 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 3607/295, 1761/610?
Answer: GCF of Numerators as per given numbers 3607/295, 1761/610 is
GCF of Numerators i.e. for 3607,1761 is 1
LCM of denominators i.e. for 295,610 is 35990.
Thus, GCF of Fractions is 1/35990.Finally, GCF of Fractions for 3607/295, 1761/610 is 1/35990.