GCF of 5665/414, 8292/6435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5665/414, 8292/6435 i.e 1/296010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5665/414, 8292/6435.
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 5665/414,8292/6435?
Given fractions are 5665/414,8292/6435
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 5665/414,8292/6435, numerators are 5665,8292
Denominators are 414,6435
The GCF of 5665,8292 is 1 .
LCM of 414,6435 is 296010.
The greatest common factor of 5665/414,8292/6435 = [GCF of 5665,8292]/[LCM of 414,6435]= 1/296010
Therefore, the GCF of 5665/414,8292/6435 is 1/296010.
To find the highest common factor of 5665,8292, we have to find the factors of both numbers and list the highest common factor.
The factors of 5665 are 1, 5, 11, 55, 103, 515, 1133, 5665
The factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292
The HCF of 5665,8292 is 1.
Lets's calculate GCF of 5665,8292
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5665,8292 By Matching Biggest Common Factor Method
Now, list down the factors of 5665
:1,5,11,55,103,515,1133,5665
Now, list down the factors of 8292
:1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Greatest Common Factor
We found the factors 5665,8292 . The biggest common factor number is the GCF number.
So the greatest common factor 5665,8292 is 1.
Lets's calculate LCM of 414,6435
| 3 | 414, 6435 |
| 3 | 138, 2145 |
| 46, 715 |
∴ So the LCM of the given numbers is 3 x 3 x 46 x 715 = 296010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/296010
Therefore, the GCF of Fractions 5665/414,8292/6435 is 1/296010
Least Common Multiple of 414,6435 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 414,6435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(414,6435) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(414,6435) x common factors =9 x 1 = 9
LCM(414,6435) = ( 414 × 6435 ) / 9
LCM(414,6435) = 2664090 / 9
LCM(414,6435) = 296010
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FAQs on GCF of Fractions of 5665/414, 8292/6435
1. What is the HCF of 5665,8292?
The HCF of 5665,8292 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 5665/414, 8292/6435?
Answer: GCF of Numerators as per given numbers 5665/414, 8292/6435 is
GCF of Numerators i.e. for 5665,8292 is 1
LCM of denominators i.e. for 414,6435 is 296010.
Thus, GCF of Fractions is 1/296010.Finally, GCF of Fractions for 5665/414, 8292/6435 is 1/296010.