GCF of 1930/506, 5938/6678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1930/506, 5938/6678 i.e 2/1689534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1930/506, 5938/6678.
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 1930/506,5938/6678?
Given fractions are 1930/506,5938/6678
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 1930/506,5938/6678, numerators are 1930,5938
Denominators are 506,6678
The GCF of 1930,5938 is 2 .
LCM of 506,6678 is 1689534.
The greatest common factor of 1930/506,5938/6678 = [GCF of 1930,5938]/[LCM of 506,6678]= 2/1689534
Therefore, the GCF of 1930/506,5938/6678 is 2/1689534.
To find the highest common factor of 1930,5938, we have to find the factors of both numbers and list the highest common factor.
The factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930
The factors of 5938 are 1, 2, 2969, 5938
The HCF of 1930,5938 is 2.
Lets's calculate GCF of 1930,5938
| 2 | 1930, 5938 |
| 965, 2969 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1930,5938 By Matching Biggest Common Factor Method
Now, list down the factors of 1930
:1,2,5,10,193,386,965,1930
Now, list down the factors of 5938
:1,2,2969,5938
Greatest Common Factor
We found the factors 1930,5938 . The biggest common factor number is the GCF number.
So the greatest common factor 1930,5938 is 2.
Lets's calculate LCM of 506,6678
| 2 | 506, 6678 |
| 253, 3339 |
∴ So the LCM of the given numbers is 2 x 253 x 3339 = 1689534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1689534
Therefore, the GCF of Fractions 1930/506,5938/6678 is 2/1689534
Least Common Multiple of 506,6678 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 506,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,6678) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,6678) x common factors =2 x 1 = 2
LCM(506,6678) = ( 506 × 6678 ) / 2
LCM(506,6678) = 3379068 / 2
LCM(506,6678) = 1689534
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FAQs on GCF of Fractions of 1930/506, 5938/6678
1. What is the HCF of 1930,5938?
The HCF of 1930,5938 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 1930/506, 5938/6678?
Answer: GCF of Numerators as per given numbers 1930/506, 5938/6678 is
GCF of Numerators i.e. for 1930,5938 is 2
LCM of denominators i.e. for 506,6678 is 1689534.
Thus, GCF of Fractions is 2/1689534.Finally, GCF of Fractions for 1930/506, 5938/6678 is 2/1689534.