GCF of 7894/646, 7608/1520
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7894/646, 7608/1520 i.e 2/25840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7894/646, 7608/1520.
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 7894/646,7608/1520?
Given fractions are 7894/646,7608/1520
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 7894/646,7608/1520, numerators are 7894,7608
Denominators are 646,1520
The GCF of 7894,7608 is 2 .
LCM of 646,1520 is 25840.
The greatest common factor of 7894/646,7608/1520 = [GCF of 7894,7608]/[LCM of 646,1520]= 2/25840
Therefore, the GCF of 7894/646,7608/1520 is 2/25840.
To find the highest common factor of 7894,7608, we have to find the factors of both numbers and list the highest common factor.
The factors of 7894 are 1, 2, 3947, 7894
The factors of 7608 are 1, 2, 3, 4, 6, 8, 12, 24, 317, 634, 951, 1268, 1902, 2536, 3804, 7608
The HCF of 7894,7608 is 2.
Lets's calculate GCF of 7894,7608
| 2 | 7894, 7608 |
| 3947, 3804 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7894,7608 By Matching Biggest Common Factor Method
Now, list down the factors of 7894
:1,2,3947,7894
Now, list down the factors of 7608
:1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608
Greatest Common Factor
We found the factors 7894,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 7894,7608 is 2.
Lets's calculate LCM of 646,1520
| 2 | 646, 1520 |
| 19 | 323, 760 |
| 17, 40 |
∴ So the LCM of the given numbers is 2 x 19 x 17 x 40 = 25840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25840
Therefore, the GCF of Fractions 7894/646,7608/1520 is 2/25840
Least Common Multiple of 646,1520 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 646,1520 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,1520) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(646,1520) x common factors =38 x 1 = 38
LCM(646,1520) = ( 646 × 1520 ) / 38
LCM(646,1520) = 981920 / 38
LCM(646,1520) = 25840
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FAQs on GCF of Fractions of 7894/646, 7608/1520
1. What is the HCF of 7894,7608?
The HCF of 7894,7608 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 7894/646, 7608/1520?
Answer: GCF of Numerators as per given numbers 7894/646, 7608/1520 is
GCF of Numerators i.e. for 7894,7608 is 2
LCM of denominators i.e. for 646,1520 is 25840.
Thus, GCF of Fractions is 2/25840.Finally, GCF of Fractions for 7894/646, 7608/1520 is 2/25840.