GCF of 7389/196, 1469/2991
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7389/196, 1469/2991 i.e 1/586236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7389/196, 1469/2991.
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 7389/196,1469/2991?
Given fractions are 7389/196,1469/2991
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 7389/196,1469/2991, numerators are 7389,1469
Denominators are 196,2991
The GCF of 7389,1469 is 1 .
LCM of 196,2991 is 586236.
The greatest common factor of 7389/196,1469/2991 = [GCF of 7389,1469]/[LCM of 196,2991]= 1/586236
Therefore, the GCF of 7389/196,1469/2991 is 1/586236.
To find the highest common factor of 7389,1469, we have to find the factors of both numbers and list the highest common factor.
The factors of 7389 are 1, 3, 9, 821, 2463, 7389
The factors of 1469 are 1, 13, 113, 1469
The HCF of 7389,1469 is 1.
Lets's calculate GCF of 7389,1469
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7389,1469 By Matching Biggest Common Factor Method
Now, list down the factors of 7389
:1,3,9,821,2463,7389
Now, list down the factors of 1469
:1,13,113,1469
Greatest Common Factor
We found the factors 7389,1469 . The biggest common factor number is the GCF number.
So the greatest common factor 7389,1469 is 1.
Lets's calculate LCM of 196,2991
Given numbers has no common factors except 1. So, there LCM is their product i.e 586236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586236
Therefore, the GCF of Fractions 7389/196,1469/2991 is 1/586236
Least Common Multiple of 196,2991 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 196,2991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,2991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(196,2991) x common factors =1 x 1 = 1
LCM(196,2991) = ( 196 × 2991 ) / 1
LCM(196,2991) = 586236 / 1
LCM(196,2991) = 586236
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FAQs on GCF of Fractions of 7389/196, 1469/2991
1. What is the HCF of 7389,1469?
The HCF of 7389,1469 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 7389/196, 1469/2991?
Answer: GCF of Numerators as per given numbers 7389/196, 1469/2991 is
GCF of Numerators i.e. for 7389,1469 is 1
LCM of denominators i.e. for 196,2991 is 586236.
Thus, GCF of Fractions is 1/586236.Finally, GCF of Fractions for 7389/196, 1469/2991 is 1/586236.