GCF of 4038/426, 7207/712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4038/426, 7207/712 i.e 1/151656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4038/426, 7207/712.
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 4038/426,7207/712?
Given fractions are 4038/426,7207/712
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 4038/426,7207/712, numerators are 4038,7207
Denominators are 426,712
The GCF of 4038,7207 is 1 .
LCM of 426,712 is 151656.
The greatest common factor of 4038/426,7207/712 = [GCF of 4038,7207]/[LCM of 426,712]= 1/151656
Therefore, the GCF of 4038/426,7207/712 is 1/151656.
To find the highest common factor of 4038,7207, we have to find the factors of both numbers and list the highest common factor.
The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038
The factors of 7207 are 1, 7207
The HCF of 4038,7207 is 1.
Lets's calculate GCF of 4038,7207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4038,7207 By Matching Biggest Common Factor Method
Now, list down the factors of 4038
:1,2,3,6,673,1346,2019,4038
Now, list down the factors of 7207
:1,7207
Greatest Common Factor
We found the factors 4038,7207 . The biggest common factor number is the GCF number.
So the greatest common factor 4038,7207 is 1.
Lets's calculate LCM of 426,712
| 2 | 426, 712 |
| 213, 356 |
∴ So the LCM of the given numbers is 2 x 213 x 356 = 151656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151656
Therefore, the GCF of Fractions 4038/426,7207/712 is 1/151656
Least Common Multiple of 426,712 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 426,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,712) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,712) x common factors =2 x 1 = 2
LCM(426,712) = ( 426 × 712 ) / 2
LCM(426,712) = 303312 / 2
LCM(426,712) = 151656
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FAQs on GCF of Fractions of 4038/426, 7207/712
1. What is the HCF of 4038,7207?
The HCF of 4038,7207 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 4038/426, 7207/712?
Answer: GCF of Numerators as per given numbers 4038/426, 7207/712 is
GCF of Numerators i.e. for 4038,7207 is 1
LCM of denominators i.e. for 426,712 is 151656.
Thus, GCF of Fractions is 1/151656.Finally, GCF of Fractions for 4038/426, 7207/712 is 1/151656.