GCF of 7349/714, 6114/3807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7349/714, 6114/3807 i.e 1/906066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7349/714, 6114/3807.
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 7349/714,6114/3807?
Given fractions are 7349/714,6114/3807
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 7349/714,6114/3807, numerators are 7349,6114
Denominators are 714,3807
The GCF of 7349,6114 is 1 .
LCM of 714,3807 is 906066.
The greatest common factor of 7349/714,6114/3807 = [GCF of 7349,6114]/[LCM of 714,3807]= 1/906066
Therefore, the GCF of 7349/714,6114/3807 is 1/906066.
To find the highest common factor of 7349,6114, we have to find the factors of both numbers and list the highest common factor.
The factors of 7349 are 1, 7349
The factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114
The HCF of 7349,6114 is 1.
Lets's calculate GCF of 7349,6114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7349,6114 By Matching Biggest Common Factor Method
Now, list down the factors of 7349
:1,7349
Now, list down the factors of 6114
:1,2,3,6,1019,2038,3057,6114
Greatest Common Factor
We found the factors 7349,6114 . The biggest common factor number is the GCF number.
So the greatest common factor 7349,6114 is 1.
Lets's calculate LCM of 714,3807
| 3 | 714, 3807 |
| 238, 1269 |
∴ So the LCM of the given numbers is 3 x 238 x 1269 = 906066
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/906066
Therefore, the GCF of Fractions 7349/714,6114/3807 is 1/906066
Least Common Multiple of 714,3807 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 714,3807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,3807) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(714,3807) x common factors =3 x 1 = 3
LCM(714,3807) = ( 714 × 3807 ) / 3
LCM(714,3807) = 2718198 / 3
LCM(714,3807) = 906066
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FAQs on GCF of Fractions of 7349/714, 6114/3807
1. What is the HCF of 7349,6114?
The HCF of 7349,6114 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 7349/714, 6114/3807?
Answer: GCF of Numerators as per given numbers 7349/714, 6114/3807 is
GCF of Numerators i.e. for 7349,6114 is 1
LCM of denominators i.e. for 714,3807 is 906066.
Thus, GCF of Fractions is 1/906066.Finally, GCF of Fractions for 7349/714, 6114/3807 is 1/906066.