GCF of 196/724, 7369/794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 196/724, 7369/794 i.e 1/287428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/724, 7369/794.
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 196/724,7369/794?
Given fractions are 196/724,7369/794
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 196/724,7369/794, numerators are 196,7369
Denominators are 724,794
The GCF of 196,7369 is 1 .
LCM of 724,794 is 287428.
The greatest common factor of 196/724,7369/794 = [GCF of 196,7369]/[LCM of 724,794]= 1/287428
Therefore, the GCF of 196/724,7369/794 is 1/287428.
To find the highest common factor of 196,7369, we have to find the factors of both numbers and list the highest common factor.
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The factors of 7369 are 1, 7369
The HCF of 196,7369 is 1.
Lets's calculate GCF of 196,7369
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 196,7369 By Matching Biggest Common Factor Method
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Now, list down the factors of 7369
:1,7369
Greatest Common Factor
We found the factors 196,7369 . The biggest common factor number is the GCF number.
So the greatest common factor 196,7369 is 1.
Lets's calculate LCM of 724,794
| 2 | 724, 794 |
| 362, 397 |
∴ So the LCM of the given numbers is 2 x 362 x 397 = 287428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287428
Therefore, the GCF of Fractions 196/724,7369/794 is 1/287428
Least Common Multiple of 724,794 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 724,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,794) x common factors =2 x 1 = 2
LCM(724,794) = ( 724 × 794 ) / 2
LCM(724,794) = 574856 / 2
LCM(724,794) = 287428
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FAQs on GCF of Fractions of 196/724, 7369/794
1. What is the HCF of 196,7369?
The HCF of 196,7369 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 196/724, 7369/794?
Answer: GCF of Numerators as per given numbers 196/724, 7369/794 is
GCF of Numerators i.e. for 196,7369 is 1
LCM of denominators i.e. for 724,794 is 287428.
Thus, GCF of Fractions is 1/287428.Finally, GCF of Fractions for 196/724, 7369/794 is 1/287428.