GCF of 8195/737, 6446/1505
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8195/737, 6446/1505 i.e 11/1109185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8195/737, 6446/1505.
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 8195/737,6446/1505?
Given fractions are 8195/737,6446/1505
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 8195/737,6446/1505, numerators are 8195,6446
Denominators are 737,1505
The GCF of 8195,6446 is 11 .
LCM of 737,1505 is 1109185.
The greatest common factor of 8195/737,6446/1505 = [GCF of 8195,6446]/[LCM of 737,1505]= 11/1109185
Therefore, the GCF of 8195/737,6446/1505 is 11/1109185.
To find the highest common factor of 8195,6446, we have to find the factors of both numbers and list the highest common factor.
The factors of 8195 are 1, 5, 11, 55, 149, 745, 1639, 8195
The factors of 6446 are 1, 2, 11, 22, 293, 586, 3223, 6446
The HCF of 8195,6446 is 11.
Lets's calculate GCF of 8195,6446
| 11 | 8195, 6446 |
| 745, 586 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8195,6446 By Matching Biggest Common Factor Method
Now, list down the factors of 8195
:1,5,11,55,149,745,1639,8195
Now, list down the factors of 6446
:1,2,11,22,293,586,3223,6446
Greatest Common Factor
We found the factors 8195,6446 . The biggest common factor number is the GCF number.
So the greatest common factor 8195,6446 is 11.
Lets's calculate LCM of 737,1505
Given numbers has no common factors except 1. So, there LCM is their product i.e 1109185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1109185
Therefore, the GCF of Fractions 8195/737,6446/1505 is 11/1109185
Least Common Multiple of 737,1505 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 737,1505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,1505) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,1505) x common factors =1 x 1 = 1
LCM(737,1505) = ( 737 × 1505 ) / 1
LCM(737,1505) = 1109185 / 1
LCM(737,1505) = 1109185
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FAQs on GCF of Fractions of 8195/737, 6446/1505
1. What is the HCF of 8195,6446?
The HCF of 8195,6446 is 11
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 8195/737, 6446/1505?
Answer: GCF of Numerators as per given numbers 8195/737, 6446/1505 is
GCF of Numerators i.e. for 8195,6446 is 11
LCM of denominators i.e. for 737,1505 is 1109185.
Thus, GCF of Fractions is 11/1109185.Finally, GCF of Fractions for 8195/737, 6446/1505 is 11/1109185.