GCF of 8365/642, 8676/1288
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8365/642, 8676/1288 i.e 1/413448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8365/642, 8676/1288.
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 8365/642,8676/1288?
Given fractions are 8365/642,8676/1288
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 8365/642,8676/1288, numerators are 8365,8676
Denominators are 642,1288
The GCF of 8365,8676 is 1 .
LCM of 642,1288 is 413448.
The greatest common factor of 8365/642,8676/1288 = [GCF of 8365,8676]/[LCM of 642,1288]= 1/413448
Therefore, the GCF of 8365/642,8676/1288 is 1/413448.
To find the highest common factor of 8365,8676, we have to find the factors of both numbers and list the highest common factor.
The factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365
The factors of 8676 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 241, 482, 723, 964, 1446, 2169, 2892, 4338, 8676
The HCF of 8365,8676 is 1.
Lets's calculate GCF of 8365,8676
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8365,8676 By Matching Biggest Common Factor Method
Now, list down the factors of 8365
:1,5,7,35,239,1195,1673,8365
Now, list down the factors of 8676
:1,2,3,4,6,9,12,18,36,241,482,723,964,1446,2169,2892,4338,8676
Greatest Common Factor
We found the factors 8365,8676 . The biggest common factor number is the GCF number.
So the greatest common factor 8365,8676 is 1.
Lets's calculate LCM of 642,1288
| 2 | 642, 1288 |
| 321, 644 |
∴ So the LCM of the given numbers is 2 x 321 x 644 = 413448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413448
Therefore, the GCF of Fractions 8365/642,8676/1288 is 1/413448
Least Common Multiple of 642,1288 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 642,1288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,1288) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(642,1288) x common factors =2 x 1 = 2
LCM(642,1288) = ( 642 × 1288 ) / 2
LCM(642,1288) = 826896 / 2
LCM(642,1288) = 413448
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FAQs on GCF of Fractions of 8365/642, 8676/1288
1. What is the HCF of 8365,8676?
The HCF of 8365,8676 is 1
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 8365/642, 8676/1288?
Answer: GCF of Numerators as per given numbers 8365/642, 8676/1288 is
GCF of Numerators i.e. for 8365,8676 is 1
LCM of denominators i.e. for 642,1288 is 413448.
Thus, GCF of Fractions is 1/413448.Finally, GCF of Fractions for 8365/642, 8676/1288 is 1/413448.