GCF of 6762/480, 1870/4514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6762/480, 1870/4514 i.e 2/1083360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6762/480, 1870/4514.
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 6762/480,1870/4514?
Given fractions are 6762/480,1870/4514
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 6762/480,1870/4514, numerators are 6762,1870
Denominators are 480,4514
The GCF of 6762,1870 is 2 .
LCM of 480,4514 is 1083360.
The greatest common factor of 6762/480,1870/4514 = [GCF of 6762,1870]/[LCM of 480,4514]= 2/1083360
Therefore, the GCF of 6762/480,1870/4514 is 2/1083360.
To find the highest common factor of 6762,1870, we have to find the factors of both numbers and list the highest common factor.
The factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The HCF of 6762,1870 is 2.
Lets's calculate GCF of 6762,1870
| 2 | 6762, 1870 |
| 3381, 935 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6762,1870 By Matching Biggest Common Factor Method
Now, list down the factors of 6762
:1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Greatest Common Factor
We found the factors 6762,1870 . The biggest common factor number is the GCF number.
So the greatest common factor 6762,1870 is 2.
Lets's calculate LCM of 480,4514
| 2 | 480, 4514 |
| 240, 2257 |
∴ So the LCM of the given numbers is 2 x 240 x 2257 = 1083360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1083360
Therefore, the GCF of Fractions 6762/480,1870/4514 is 2/1083360
Least Common Multiple of 480,4514 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 480,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,4514) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(480,4514) x common factors =2 x 1 = 2
LCM(480,4514) = ( 480 × 4514 ) / 2
LCM(480,4514) = 2166720 / 2
LCM(480,4514) = 1083360
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FAQs on GCF of Fractions of 6762/480, 1870/4514
1. What is the HCF of 6762,1870?
The HCF of 6762,1870 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 6762/480, 1870/4514?
Answer: GCF of Numerators as per given numbers 6762/480, 1870/4514 is
GCF of Numerators i.e. for 6762,1870 is 2
LCM of denominators i.e. for 480,4514 is 1083360.
Thus, GCF of Fractions is 2/1083360.Finally, GCF of Fractions for 6762/480, 1870/4514 is 2/1083360.