GCF of 1065/610, 4047/207
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1065/610, 4047/207 i.e 213/126270 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1065/610, 4047/207.
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 1065/610,4047/207?
Given fractions are 1065/610,4047/207
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 1065/610,4047/207, numerators are 1065,4047
Denominators are 610,207
The GCF of 1065,4047 is 213 .
LCM of 610,207 is 126270.
The greatest common factor of 1065/610,4047/207 = [GCF of 1065,4047]/[LCM of 610,207]= 213/126270
Therefore, the GCF of 1065/610,4047/207 is 213/126270.
To find the highest common factor of 1065,4047, we have to find the factors of both numbers and list the highest common factor.
The factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065
The factors of 4047 are 1, 3, 19, 57, 71, 213, 1349, 4047
The HCF of 1065,4047 is 213.
Lets's calculate GCF of 1065,4047
| 3 | 1065, 4047 |
| 71 | 355, 1349 |
| 5, 19 |
∴ So the GCF of the given numbers is 3 x 71 = 213
Greatest Common Factor of 1065,4047 By Matching Biggest Common Factor Method
Now, list down the factors of 1065
:1,3,5,15,71,213,355,1065
Now, list down the factors of 4047
:1,3,19,57,71,213,1349,4047
Greatest Common Factor
We found the factors 1065,4047 . The biggest common factor number is the GCF number.
So the greatest common factor 1065,4047 is 213.
Lets's calculate LCM of 610,207
Given numbers has no common factors except 1. So, there LCM is their product i.e 126270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 213/126270
Therefore, the GCF of Fractions 1065/610,4047/207 is 213/126270
Least Common Multiple of 610,207 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 610,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,207) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,207) x common factors =1 x 1 = 1
LCM(610,207) = ( 610 × 207 ) / 1
LCM(610,207) = 126270 / 1
LCM(610,207) = 126270
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FAQs on GCF of Fractions of 1065/610, 4047/207
1. What is the HCF of 1065,4047?
The HCF of 1065,4047 is 213
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 1065/610, 4047/207?
Answer: GCF of Numerators as per given numbers 1065/610, 4047/207 is
GCF of Numerators i.e. for 1065,4047 is 213
LCM of denominators i.e. for 610,207 is 126270.
Thus, GCF of Fractions is 213/126270.Finally, GCF of Fractions for 1065/610, 4047/207 is 213/126270.