GCF of 4266/406, 3039/7414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4266/406, 3039/7414 i.e 3/1505042 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4266/406, 3039/7414.
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 4266/406,3039/7414?
Given fractions are 4266/406,3039/7414
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 4266/406,3039/7414, numerators are 4266,3039
Denominators are 406,7414
The GCF of 4266,3039 is 3 .
LCM of 406,7414 is 1505042.
The greatest common factor of 4266/406,3039/7414 = [GCF of 4266,3039]/[LCM of 406,7414]= 3/1505042
Therefore, the GCF of 4266/406,3039/7414 is 3/1505042.
To find the highest common factor of 4266,3039, we have to find the factors of both numbers and list the highest common factor.
The factors of 4266 are 1, 2, 3, 6, 9, 18, 27, 54, 79, 158, 237, 474, 711, 1422, 2133, 4266
The factors of 3039 are 1, 3, 1013, 3039
The HCF of 4266,3039 is 3.
Lets's calculate GCF of 4266,3039
| 3 | 4266, 3039 |
| 1422, 1013 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4266,3039 By Matching Biggest Common Factor Method
Now, list down the factors of 4266
:1,2,3,6,9,18,27,54,79,158,237,474,711,1422,2133,4266
Now, list down the factors of 3039
:1,3,1013,3039
Greatest Common Factor
We found the factors 4266,3039 . The biggest common factor number is the GCF number.
So the greatest common factor 4266,3039 is 3.
Lets's calculate LCM of 406,7414
| 2 | 406, 7414 |
| 203, 3707 |
∴ So the LCM of the given numbers is 2 x 203 x 3707 = 1505042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1505042
Therefore, the GCF of Fractions 4266/406,3039/7414 is 3/1505042
Least Common Multiple of 406,7414 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 406,7414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7414) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7414) x common factors =2 x 1 = 2
LCM(406,7414) = ( 406 × 7414 ) / 2
LCM(406,7414) = 3010084 / 2
LCM(406,7414) = 1505042
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FAQs on GCF of Fractions of 4266/406, 3039/7414
1. What is the HCF of 4266,3039?
The HCF of 4266,3039 is 3
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 4266/406, 3039/7414?
Answer: GCF of Numerators as per given numbers 4266/406, 3039/7414 is
GCF of Numerators i.e. for 4266,3039 is 3
LCM of denominators i.e. for 406,7414 is 1505042.
Thus, GCF of Fractions is 3/1505042.Finally, GCF of Fractions for 4266/406, 3039/7414 is 3/1505042.