GCF of 718/409, 1470/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 718/409, 1470/967 i.e 2/395503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 718/409, 1470/967.
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 718/409,1470/967?
Given fractions are 718/409,1470/967
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 718/409,1470/967, numerators are 718,1470
Denominators are 409,967
The GCF of 718,1470 is 2 .
LCM of 409,967 is 395503.
The greatest common factor of 718/409,1470/967 = [GCF of 718,1470]/[LCM of 409,967]= 2/395503
Therefore, the GCF of 718/409,1470/967 is 2/395503.
To find the highest common factor of 718,1470, we have to find the factors of both numbers and list the highest common factor.
The factors of 718 are 1, 2, 359, 718
The factors of 1470 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 49, 70, 98, 105, 147, 210, 245, 294, 490, 735, 1470
The HCF of 718,1470 is 2.
Lets's calculate GCF of 718,1470
| 2 | 718, 1470 |
| 359, 735 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 718,1470 By Matching Biggest Common Factor Method
Now, list down the factors of 718
:1,2,359,718
Now, list down the factors of 1470
:1,2,3,5,6,7,10,14,15,21,30,35,42,49,70,98,105,147,210,245,294,490,735,1470
Greatest Common Factor
We found the factors 718,1470 . The biggest common factor number is the GCF number.
So the greatest common factor 718,1470 is 2.
Lets's calculate LCM of 409,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 395503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/395503
Therefore, the GCF of Fractions 718/409,1470/967 is 2/395503
Least Common Multiple of 409,967 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 409,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,967) x common factors =1 x 1 = 1
LCM(409,967) = ( 409 × 967 ) / 1
LCM(409,967) = 395503 / 1
LCM(409,967) = 395503
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FAQs on GCF of Fractions of 718/409, 1470/967
1. What is the HCF of 718,1470?
The HCF of 718,1470 is 2
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 718/409, 1470/967?
Answer: GCF of Numerators as per given numbers 718/409, 1470/967 is
GCF of Numerators i.e. for 718,1470 is 2
LCM of denominators i.e. for 409,967 is 395503.
Thus, GCF of Fractions is 2/395503.Finally, GCF of Fractions for 718/409, 1470/967 is 2/395503.