GCF of 3236/785, 3192/4223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3236/785, 3192/4223 i.e 4/3315055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3236/785, 3192/4223.
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 3236/785,3192/4223?
Given fractions are 3236/785,3192/4223
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 3236/785,3192/4223, numerators are 3236,3192
Denominators are 785,4223
The GCF of 3236,3192 is 4 .
LCM of 785,4223 is 3315055.
The greatest common factor of 3236/785,3192/4223 = [GCF of 3236,3192]/[LCM of 785,4223]= 4/3315055
Therefore, the GCF of 3236/785,3192/4223 is 4/3315055.
To find the highest common factor of 3236,3192, we have to find the factors of both numbers and list the highest common factor.
The factors of 3236 are 1, 2, 4, 809, 1618, 3236
The factors of 3192 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 19, 21, 24, 28, 38, 42, 56, 57, 76, 84, 114, 133, 152, 168, 228, 266, 399, 456, 532, 798, 1064, 1596, 3192
The HCF of 3236,3192 is 4.
Lets's calculate GCF of 3236,3192
| 2 | 3236, 3192 |
| 2 | 1618, 1596 |
| 809, 798 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3236,3192 By Matching Biggest Common Factor Method
Now, list down the factors of 3236
:1,2,4,809,1618,3236
Now, list down the factors of 3192
:1,2,3,4,6,7,8,12,14,19,21,24,28,38,42,56,57,76,84,114,133,152,168,228,266,399,456,532,798,1064,1596,3192
Greatest Common Factor
We found the factors 3236,3192 . The biggest common factor number is the GCF number.
So the greatest common factor 3236,3192 is 4.
Lets's calculate LCM of 785,4223
Given numbers has no common factors except 1. So, there LCM is their product i.e 3315055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3315055
Therefore, the GCF of Fractions 3236/785,3192/4223 is 4/3315055
Least Common Multiple of 785,4223 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 785,4223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,4223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,4223) x common factors =1 x 1 = 1
LCM(785,4223) = ( 785 × 4223 ) / 1
LCM(785,4223) = 3315055 / 1
LCM(785,4223) = 3315055
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FAQs on GCF of Fractions of 3236/785, 3192/4223
1. What is the HCF of 3236,3192?
The HCF of 3236,3192 is 4
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 3236/785, 3192/4223?
Answer: GCF of Numerators as per given numbers 3236/785, 3192/4223 is
GCF of Numerators i.e. for 3236,3192 is 4
LCM of denominators i.e. for 785,4223 is 3315055.
Thus, GCF of Fractions is 4/3315055.Finally, GCF of Fractions for 3236/785, 3192/4223 is 4/3315055.