GCF of 1895/966, 7330/6414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1895/966, 7330/6414 i.e 5/1032654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1895/966, 7330/6414.
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 1895/966,7330/6414?
Given fractions are 1895/966,7330/6414
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 1895/966,7330/6414, numerators are 1895,7330
Denominators are 966,6414
The GCF of 1895,7330 is 5 .
LCM of 966,6414 is 1032654.
The greatest common factor of 1895/966,7330/6414 = [GCF of 1895,7330]/[LCM of 966,6414]= 5/1032654
Therefore, the GCF of 1895/966,7330/6414 is 5/1032654.
To find the highest common factor of 1895,7330, we have to find the factors of both numbers and list the highest common factor.
The factors of 1895 are 1, 5, 379, 1895
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The HCF of 1895,7330 is 5.
Lets's calculate GCF of 1895,7330
| 5 | 1895, 7330 |
| 379, 1466 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1895,7330 By Matching Biggest Common Factor Method
Now, list down the factors of 1895
:1,5,379,1895
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Greatest Common Factor
We found the factors 1895,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 1895,7330 is 5.
Lets's calculate LCM of 966,6414
| 2 | 966, 6414 |
| 3 | 483, 3207 |
| 161, 1069 |
∴ So the LCM of the given numbers is 2 x 3 x 161 x 1069 = 1032654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1032654
Therefore, the GCF of Fractions 1895/966,7330/6414 is 5/1032654
Least Common Multiple of 966,6414 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 966,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(966,6414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(966,6414) x common factors =6 x 1 = 6
LCM(966,6414) = ( 966 × 6414 ) / 6
LCM(966,6414) = 6195924 / 6
LCM(966,6414) = 1032654
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FAQs on GCF of Fractions of 1895/966, 7330/6414
1. What is the HCF of 1895,7330?
The HCF of 1895,7330 is 5
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 1895/966, 7330/6414?
Answer: GCF of Numerators as per given numbers 1895/966, 7330/6414 is
GCF of Numerators i.e. for 1895,7330 is 5
LCM of denominators i.e. for 966,6414 is 1032654.
Thus, GCF of Fractions is 5/1032654.Finally, GCF of Fractions for 1895/966, 7330/6414 is 5/1032654.