GCF of 1399/412, 9748/3457
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1399/412, 9748/3457 i.e 1/1424284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1399/412, 9748/3457.
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 1399/412,9748/3457?
Given fractions are 1399/412,9748/3457
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 1399/412,9748/3457, numerators are 1399,9748
Denominators are 412,3457
The GCF of 1399,9748 is 1 .
LCM of 412,3457 is 1424284.
The greatest common factor of 1399/412,9748/3457 = [GCF of 1399,9748]/[LCM of 412,3457]= 1/1424284
Therefore, the GCF of 1399/412,9748/3457 is 1/1424284.
To find the highest common factor of 1399,9748, we have to find the factors of both numbers and list the highest common factor.
The factors of 1399 are 1, 1399
The factors of 9748 are 1, 2, 4, 2437, 4874, 9748
The HCF of 1399,9748 is 1.
Lets's calculate GCF of 1399,9748
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1399,9748 By Matching Biggest Common Factor Method
Now, list down the factors of 1399
:1,1399
Now, list down the factors of 9748
:1,2,4,2437,4874,9748
Greatest Common Factor
We found the factors 1399,9748 . The biggest common factor number is the GCF number.
So the greatest common factor 1399,9748 is 1.
Lets's calculate LCM of 412,3457
Given numbers has no common factors except 1. So, there LCM is their product i.e 1424284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1424284
Therefore, the GCF of Fractions 1399/412,9748/3457 is 1/1424284
Least Common Multiple of 412,3457 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 412,3457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,3457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,3457) x common factors =1 x 1 = 1
LCM(412,3457) = ( 412 × 3457 ) / 1
LCM(412,3457) = 1424284 / 1
LCM(412,3457) = 1424284
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FAQs on GCF of Fractions of 1399/412, 9748/3457
1. What is the HCF of 1399,9748?
The HCF of 1399,9748 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 1399/412, 9748/3457?
Answer: GCF of Numerators as per given numbers 1399/412, 9748/3457 is
GCF of Numerators i.e. for 1399,9748 is 1
LCM of denominators i.e. for 412,3457 is 1424284.
Thus, GCF of Fractions is 1/1424284.Finally, GCF of Fractions for 1399/412, 9748/3457 is 1/1424284.