GCF of 2790/667, 4514/9780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2790/667, 4514/9780 i.e 2/6523260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2790/667, 4514/9780.
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 2790/667,4514/9780?
Given fractions are 2790/667,4514/9780
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 2790/667,4514/9780, numerators are 2790,4514
Denominators are 667,9780
The GCF of 2790,4514 is 2 .
LCM of 667,9780 is 6523260.
The greatest common factor of 2790/667,4514/9780 = [GCF of 2790,4514]/[LCM of 667,9780]= 2/6523260
Therefore, the GCF of 2790/667,4514/9780 is 2/6523260.
To find the highest common factor of 2790,4514, we have to find the factors of both numbers and list the highest common factor.
The factors of 2790 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 31, 45, 62, 90, 93, 155, 186, 279, 310, 465, 558, 930, 1395, 2790
The factors of 4514 are 1, 2, 37, 61, 74, 122, 2257, 4514
The HCF of 2790,4514 is 2.
Lets's calculate GCF of 2790,4514
| 2 | 2790, 4514 |
| 1395, 2257 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2790,4514 By Matching Biggest Common Factor Method
Now, list down the factors of 2790
:1,2,3,5,6,9,10,15,18,30,31,45,62,90,93,155,186,279,310,465,558,930,1395,2790
Now, list down the factors of 4514
:1,2,37,61,74,122,2257,4514
Greatest Common Factor
We found the factors 2790,4514 . The biggest common factor number is the GCF number.
So the greatest common factor 2790,4514 is 2.
Lets's calculate LCM of 667,9780
Given numbers has no common factors except 1. So, there LCM is their product i.e 6523260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6523260
Therefore, the GCF of Fractions 2790/667,4514/9780 is 2/6523260
Least Common Multiple of 667,9780 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 667,9780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(667,9780) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(667,9780) x common factors =1 x 1 = 1
LCM(667,9780) = ( 667 × 9780 ) / 1
LCM(667,9780) = 6523260 / 1
LCM(667,9780) = 6523260
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FAQs on GCF of Fractions of 2790/667, 4514/9780
1. What is the HCF of 2790,4514?
The HCF of 2790,4514 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 2790/667, 4514/9780?
Answer: GCF of Numerators as per given numbers 2790/667, 4514/9780 is
GCF of Numerators i.e. for 2790,4514 is 2
LCM of denominators i.e. for 667,9780 is 6523260.
Thus, GCF of Fractions is 2/6523260.Finally, GCF of Fractions for 2790/667, 4514/9780 is 2/6523260.