GCF of 3790/498, 7780/1665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3790/498, 7780/1665 i.e 10/276390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3790/498, 7780/1665.
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 3790/498,7780/1665?
Given fractions are 3790/498,7780/1665
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 3790/498,7780/1665, numerators are 3790,7780
Denominators are 498,1665
The GCF of 3790,7780 is 10 .
LCM of 498,1665 is 276390.
The greatest common factor of 3790/498,7780/1665 = [GCF of 3790,7780]/[LCM of 498,1665]= 10/276390
Therefore, the GCF of 3790/498,7780/1665 is 10/276390.
To find the highest common factor of 3790,7780, we have to find the factors of both numbers and list the highest common factor.
The factors of 3790 are 1, 2, 5, 10, 379, 758, 1895, 3790
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The HCF of 3790,7780 is 10.
Lets's calculate GCF of 3790,7780
| 2 | 3790, 7780 |
| 5 | 1895, 3890 |
| 379, 778 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 3790,7780 By Matching Biggest Common Factor Method
Now, list down the factors of 3790
:1,2,5,10,379,758,1895,3790
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 3790,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 3790,7780 is 10.
Lets's calculate LCM of 498,1665
| 3 | 498, 1665 |
| 166, 555 |
∴ So the LCM of the given numbers is 3 x 166 x 555 = 276390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/276390
Therefore, the GCF of Fractions 3790/498,7780/1665 is 10/276390
Least Common Multiple of 498,1665 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 498,1665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,1665) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(498,1665) x common factors =3 x 1 = 3
LCM(498,1665) = ( 498 × 1665 ) / 3
LCM(498,1665) = 829170 / 3
LCM(498,1665) = 276390
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FAQs on GCF of Fractions of 3790/498, 7780/1665
1. What is the HCF of 3790,7780?
The HCF of 3790,7780 is 10
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 3790/498, 7780/1665?
Answer: GCF of Numerators as per given numbers 3790/498, 7780/1665 is
GCF of Numerators i.e. for 3790,7780 is 10
LCM of denominators i.e. for 498,1665 is 276390.
Thus, GCF of Fractions is 10/276390.Finally, GCF of Fractions for 3790/498, 7780/1665 is 10/276390.