GCF of 2026/303, 7942/8049
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2026/303, 7942/8049 i.e 2/812949 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2026/303, 7942/8049.
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 2026/303,7942/8049?
Given fractions are 2026/303,7942/8049
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 2026/303,7942/8049, numerators are 2026,7942
Denominators are 303,8049
The GCF of 2026,7942 is 2 .
LCM of 303,8049 is 812949.
The greatest common factor of 2026/303,7942/8049 = [GCF of 2026,7942]/[LCM of 303,8049]= 2/812949
Therefore, the GCF of 2026/303,7942/8049 is 2/812949.
To find the highest common factor of 2026,7942, we have to find the factors of both numbers and list the highest common factor.
The factors of 2026 are 1, 2, 1013, 2026
The factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942
The HCF of 2026,7942 is 2.
Lets's calculate GCF of 2026,7942
| 2 | 2026, 7942 |
| 1013, 3971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2026,7942 By Matching Biggest Common Factor Method
Now, list down the factors of 2026
:1,2,1013,2026
Now, list down the factors of 7942
:1,2,11,19,22,38,209,361,418,722,3971,7942
Greatest Common Factor
We found the factors 2026,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 2026,7942 is 2.
Lets's calculate LCM of 303,8049
| 3 | 303, 8049 |
| 101, 2683 |
∴ So the LCM of the given numbers is 3 x 101 x 2683 = 812949
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/812949
Therefore, the GCF of Fractions 2026/303,7942/8049 is 2/812949
Least Common Multiple of 303,8049 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 303,8049 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,8049) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,8049) x common factors =3 x 1 = 3
LCM(303,8049) = ( 303 × 8049 ) / 3
LCM(303,8049) = 2438847 / 3
LCM(303,8049) = 812949
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FAQs on GCF of Fractions of 2026/303, 7942/8049
1. What is the HCF of 2026,7942?
The HCF of 2026,7942 is 2
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 2026/303, 7942/8049?
Answer: GCF of Numerators as per given numbers 2026/303, 7942/8049 is
GCF of Numerators i.e. for 2026,7942 is 2
LCM of denominators i.e. for 303,8049 is 812949.
Thus, GCF of Fractions is 2/812949.Finally, GCF of Fractions for 2026/303, 7942/8049 is 2/812949.