GCF of 3675/369, 1232/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3675/369, 1232/4090 i.e 7/1509210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3675/369, 1232/4090.
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 3675/369,1232/4090?
Given fractions are 3675/369,1232/4090
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 3675/369,1232/4090, numerators are 3675,1232
Denominators are 369,4090
The GCF of 3675,1232 is 7 .
LCM of 369,4090 is 1509210.
The greatest common factor of 3675/369,1232/4090 = [GCF of 3675,1232]/[LCM of 369,4090]= 7/1509210
Therefore, the GCF of 3675/369,1232/4090 is 7/1509210.
To find the highest common factor of 3675,1232, we have to find the factors of both numbers and list the highest common factor.
The factors of 3675 are 1, 3, 5, 7, 15, 21, 25, 35, 49, 75, 105, 147, 175, 245, 525, 735, 1225, 3675
The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232
The HCF of 3675,1232 is 7.
Lets's calculate GCF of 3675,1232
| 7 | 3675, 1232 |
| 525, 176 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3675,1232 By Matching Biggest Common Factor Method
Now, list down the factors of 3675
:1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675
Now, list down the factors of 1232
:1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Greatest Common Factor
We found the factors 3675,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 3675,1232 is 7.
Lets's calculate LCM of 369,4090
Given numbers has no common factors except 1. So, there LCM is their product i.e 1509210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1509210
Therefore, the GCF of Fractions 3675/369,1232/4090 is 7/1509210
Least Common Multiple of 369,4090 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 369,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,4090) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,4090) x common factors =1 x 1 = 1
LCM(369,4090) = ( 369 × 4090 ) / 1
LCM(369,4090) = 1509210 / 1
LCM(369,4090) = 1509210
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FAQs on GCF of Fractions of 3675/369, 1232/4090
1. What is the HCF of 3675,1232?
The HCF of 3675,1232 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 3675/369, 1232/4090?
Answer: GCF of Numerators as per given numbers 3675/369, 1232/4090 is
GCF of Numerators i.e. for 3675,1232 is 7
LCM of denominators i.e. for 369,4090 is 1509210.
Thus, GCF of Fractions is 7/1509210.Finally, GCF of Fractions for 3675/369, 1232/4090 is 7/1509210.