GCF of 3712/188, 3480/6326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3712/188, 3480/6326 i.e 232/594644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3712/188, 3480/6326.
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 3712/188,3480/6326?
Given fractions are 3712/188,3480/6326
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 3712/188,3480/6326, numerators are 3712,3480
Denominators are 188,6326
The GCF of 3712,3480 is 232 .
LCM of 188,6326 is 594644.
The greatest common factor of 3712/188,3480/6326 = [GCF of 3712,3480]/[LCM of 188,6326]= 232/594644
Therefore, the GCF of 3712/188,3480/6326 is 232/594644.
To find the highest common factor of 3712,3480, we have to find the factors of both numbers and list the highest common factor.
The factors of 3712 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 464, 928, 1856, 3712
The factors of 3480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58, 60, 87, 116, 120, 145, 174, 232, 290, 348, 435, 580, 696, 870, 1160, 1740, 3480
The HCF of 3712,3480 is 232.
Lets's calculate GCF of 3712,3480
| 2 | 3712, 3480 |
| 2 | 1856, 1740 |
| 2 | 928, 870 |
| 29 | 464, 435 |
| 16, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 29 = 232
Greatest Common Factor of 3712,3480 By Matching Biggest Common Factor Method
Now, list down the factors of 3712
:1,2,4,8,16,29,32,58,64,116,128,232,464,928,1856,3712
Now, list down the factors of 3480
:1,2,3,4,5,6,8,10,12,15,20,24,29,30,40,58,60,87,116,120,145,174,232,290,348,435,580,696,870,1160,1740,3480
Greatest Common Factor
We found the factors 3712,3480 . The biggest common factor number is the GCF number.
So the greatest common factor 3712,3480 is 232.
Lets's calculate LCM of 188,6326
| 2 | 188, 6326 |
| 94, 3163 |
∴ So the LCM of the given numbers is 2 x 94 x 3163 = 594644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 232/594644
Therefore, the GCF of Fractions 3712/188,3480/6326 is 232/594644
Least Common Multiple of 188,6326 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 188,6326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,6326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(188,6326) x common factors =2 x 1 = 2
LCM(188,6326) = ( 188 × 6326 ) / 2
LCM(188,6326) = 1189288 / 2
LCM(188,6326) = 594644
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FAQs on GCF of Fractions of 3712/188, 3480/6326
1. What is the HCF of 3712,3480?
The HCF of 3712,3480 is 232
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 3712/188, 3480/6326?
Answer: GCF of Numerators as per given numbers 3712/188, 3480/6326 is
GCF of Numerators i.e. for 3712,3480 is 232
LCM of denominators i.e. for 188,6326 is 594644.
Thus, GCF of Fractions is 232/594644.Finally, GCF of Fractions for 3712/188, 3480/6326 is 232/594644.