GCF of 3087/456, 7658/8390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3087/456, 7658/8390 i.e 7/1912920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3087/456, 7658/8390.
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 3087/456,7658/8390?
Given fractions are 3087/456,7658/8390
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 3087/456,7658/8390, numerators are 3087,7658
Denominators are 456,8390
The GCF of 3087,7658 is 7 .
LCM of 456,8390 is 1912920.
The greatest common factor of 3087/456,7658/8390 = [GCF of 3087,7658]/[LCM of 456,8390]= 7/1912920
Therefore, the GCF of 3087/456,7658/8390 is 7/1912920.
To find the highest common factor of 3087,7658, we have to find the factors of both numbers and list the highest common factor.
The factors of 3087 are 1, 3, 7, 9, 21, 49, 63, 147, 343, 441, 1029, 3087
The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658
The HCF of 3087,7658 is 7.
Lets's calculate GCF of 3087,7658
| 7 | 3087, 7658 |
| 441, 1094 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3087,7658 By Matching Biggest Common Factor Method
Now, list down the factors of 3087
:1,3,7,9,21,49,63,147,343,441,1029,3087
Now, list down the factors of 7658
:1,2,7,14,547,1094,3829,7658
Greatest Common Factor
We found the factors 3087,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 3087,7658 is 7.
Lets's calculate LCM of 456,8390
| 2 | 456, 8390 |
| 228, 4195 |
∴ So the LCM of the given numbers is 2 x 228 x 4195 = 1912920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1912920
Therefore, the GCF of Fractions 3087/456,7658/8390 is 7/1912920
Least Common Multiple of 456,8390 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 456,8390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,8390) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(456,8390) x common factors =2 x 1 = 2
LCM(456,8390) = ( 456 × 8390 ) / 2
LCM(456,8390) = 3825840 / 2
LCM(456,8390) = 1912920
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FAQs on GCF of Fractions of 3087/456, 7658/8390
1. What is the HCF of 3087,7658?
The HCF of 3087,7658 is 7
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 3087/456, 7658/8390?
Answer: GCF of Numerators as per given numbers 3087/456, 7658/8390 is
GCF of Numerators i.e. for 3087,7658 is 7
LCM of denominators i.e. for 456,8390 is 1912920.
Thus, GCF of Fractions is 7/1912920.Finally, GCF of Fractions for 3087/456, 7658/8390 is 7/1912920.