GCF of 8415/709, 3876/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8415/709, 3876/488 i.e 51/345992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8415/709, 3876/488.
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 8415/709,3876/488?
Given fractions are 8415/709,3876/488
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 8415/709,3876/488, numerators are 8415,3876
Denominators are 709,488
The GCF of 8415,3876 is 51 .
LCM of 709,488 is 345992.
The greatest common factor of 8415/709,3876/488 = [GCF of 8415,3876]/[LCM of 709,488]= 51/345992
Therefore, the GCF of 8415/709,3876/488 is 51/345992.
To find the highest common factor of 8415,3876, we have to find the factors of both numbers and list the highest common factor.
The factors of 8415 are 1, 3, 5, 9, 11, 15, 17, 33, 45, 51, 55, 85, 99, 153, 165, 187, 255, 495, 561, 765, 935, 1683, 2805, 8415
The factors of 3876 are 1, 2, 3, 4, 6, 12, 17, 19, 34, 38, 51, 57, 68, 76, 102, 114, 204, 228, 323, 646, 969, 1292, 1938, 3876
The HCF of 8415,3876 is 51.
Lets's calculate GCF of 8415,3876
| 3 | 8415, 3876 |
| 17 | 2805, 1292 |
| 165, 76 |
∴ So the GCF of the given numbers is 3 x 17 = 51
Greatest Common Factor of 8415,3876 By Matching Biggest Common Factor Method
Now, list down the factors of 8415
:1,3,5,9,11,15,17,33,45,51,55,85,99,153,165,187,255,495,561,765,935,1683,2805,8415
Now, list down the factors of 3876
:1,2,3,4,6,12,17,19,34,38,51,57,68,76,102,114,204,228,323,646,969,1292,1938,3876
Greatest Common Factor
We found the factors 8415,3876 . The biggest common factor number is the GCF number.
So the greatest common factor 8415,3876 is 51.
Lets's calculate LCM of 709,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 345992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/345992
Therefore, the GCF of Fractions 8415/709,3876/488 is 51/345992
Least Common Multiple of 709,488 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 709,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,488) x common factors =1 x 1 = 1
LCM(709,488) = ( 709 × 488 ) / 1
LCM(709,488) = 345992 / 1
LCM(709,488) = 345992
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FAQs on GCF of Fractions of 8415/709, 3876/488
1. What is the HCF of 8415,3876?
The HCF of 8415,3876 is 51
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 8415/709, 3876/488?
Answer: GCF of Numerators as per given numbers 8415/709, 3876/488 is
GCF of Numerators i.e. for 8415,3876 is 51
LCM of denominators i.e. for 709,488 is 345992.
Thus, GCF of Fractions is 51/345992.Finally, GCF of Fractions for 8415/709, 3876/488 is 51/345992.