GCF of 7672/810, 1378/6462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7672/810, 1378/6462 i.e 2/290790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7672/810, 1378/6462.
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 7672/810,1378/6462?
Given fractions are 7672/810,1378/6462
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 7672/810,1378/6462, numerators are 7672,1378
Denominators are 810,6462
The GCF of 7672,1378 is 2 .
LCM of 810,6462 is 290790.
The greatest common factor of 7672/810,1378/6462 = [GCF of 7672,1378]/[LCM of 810,6462]= 2/290790
Therefore, the GCF of 7672/810,1378/6462 is 2/290790.
To find the highest common factor of 7672,1378, we have to find the factors of both numbers and list the highest common factor.
The factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672
The factors of 1378 are 1, 2, 13, 26, 53, 106, 689, 1378
The HCF of 7672,1378 is 2.
Lets's calculate GCF of 7672,1378
| 2 | 7672, 1378 |
| 3836, 689 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7672,1378 By Matching Biggest Common Factor Method
Now, list down the factors of 7672
:1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672
Now, list down the factors of 1378
:1,2,13,26,53,106,689,1378
Greatest Common Factor
We found the factors 7672,1378 . The biggest common factor number is the GCF number.
So the greatest common factor 7672,1378 is 2.
Lets's calculate LCM of 810,6462
| 2 | 810, 6462 |
| 3 | 405, 3231 |
| 3 | 135, 1077 |
| 45, 359 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 45 x 359 = 290790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/290790
Therefore, the GCF of Fractions 7672/810,1378/6462 is 2/290790
Least Common Multiple of 810,6462 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 810,6462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,6462) = 18
common factors(in case of two or more numbers have common factors) = 1
GCF(810,6462) x common factors =18 x 1 = 18
LCM(810,6462) = ( 810 × 6462 ) / 18
LCM(810,6462) = 5234220 / 18
LCM(810,6462) = 290790
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FAQs on GCF of Fractions of 7672/810, 1378/6462
1. What is the HCF of 7672,1378?
The HCF of 7672,1378 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 7672/810, 1378/6462?
Answer: GCF of Numerators as per given numbers 7672/810, 1378/6462 is
GCF of Numerators i.e. for 7672,1378 is 2
LCM of denominators i.e. for 810,6462 is 290790.
Thus, GCF of Fractions is 2/290790.Finally, GCF of Fractions for 7672/810, 1378/6462 is 2/290790.