GCF of 8225/219, 3836/6802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8225/219, 3836/6802 i.e 7/1489638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8225/219, 3836/6802.
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 8225/219,3836/6802?
Given fractions are 8225/219,3836/6802
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 8225/219,3836/6802, numerators are 8225,3836
Denominators are 219,6802
The GCF of 8225,3836 is 7 .
LCM of 219,6802 is 1489638.
The greatest common factor of 8225/219,3836/6802 = [GCF of 8225,3836]/[LCM of 219,6802]= 7/1489638
Therefore, the GCF of 8225/219,3836/6802 is 7/1489638.
To find the highest common factor of 8225,3836, we have to find the factors of both numbers and list the highest common factor.
The factors of 8225 are 1, 5, 7, 25, 35, 47, 175, 235, 329, 1175, 1645, 8225
The factors of 3836 are 1, 2, 4, 7, 14, 28, 137, 274, 548, 959, 1918, 3836
The HCF of 8225,3836 is 7.
Lets's calculate GCF of 8225,3836
| 7 | 8225, 3836 |
| 1175, 548 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8225,3836 By Matching Biggest Common Factor Method
Now, list down the factors of 8225
:1,5,7,25,35,47,175,235,329,1175,1645,8225
Now, list down the factors of 3836
:1,2,4,7,14,28,137,274,548,959,1918,3836
Greatest Common Factor
We found the factors 8225,3836 . The biggest common factor number is the GCF number.
So the greatest common factor 8225,3836 is 7.
Lets's calculate LCM of 219,6802
Given numbers has no common factors except 1. So, there LCM is their product i.e 1489638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1489638
Therefore, the GCF of Fractions 8225/219,3836/6802 is 7/1489638
Least Common Multiple of 219,6802 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 219,6802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,6802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,6802) x common factors =1 x 1 = 1
LCM(219,6802) = ( 219 × 6802 ) / 1
LCM(219,6802) = 1489638 / 1
LCM(219,6802) = 1489638
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FAQs on GCF of Fractions of 8225/219, 3836/6802
1. What is the HCF of 8225,3836?
The HCF of 8225,3836 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 8225/219, 3836/6802?
Answer: GCF of Numerators as per given numbers 8225/219, 3836/6802 is
GCF of Numerators i.e. for 8225,3836 is 7
LCM of denominators i.e. for 219,6802 is 1489638.
Thus, GCF of Fractions is 7/1489638.Finally, GCF of Fractions for 8225/219, 3836/6802 is 7/1489638.