GCF of 3592/833, 8042/208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3592/833, 8042/208 i.e 2/173264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3592/833, 8042/208.
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 3592/833,8042/208?
Given fractions are 3592/833,8042/208
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 3592/833,8042/208, numerators are 3592,8042
Denominators are 833,208
The GCF of 3592,8042 is 2 .
LCM of 833,208 is 173264.
The greatest common factor of 3592/833,8042/208 = [GCF of 3592,8042]/[LCM of 833,208]= 2/173264
Therefore, the GCF of 3592/833,8042/208 is 2/173264.
To find the highest common factor of 3592,8042, we have to find the factors of both numbers and list the highest common factor.
The factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592
The factors of 8042 are 1, 2, 4021, 8042
The HCF of 3592,8042 is 2.
Lets's calculate GCF of 3592,8042
| 2 | 3592, 8042 |
| 1796, 4021 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3592,8042 By Matching Biggest Common Factor Method
Now, list down the factors of 3592
:1,2,4,8,449,898,1796,3592
Now, list down the factors of 8042
:1,2,4021,8042
Greatest Common Factor
We found the factors 3592,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 3592,8042 is 2.
Lets's calculate LCM of 833,208
Given numbers has no common factors except 1. So, there LCM is their product i.e 173264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/173264
Therefore, the GCF of Fractions 3592/833,8042/208 is 2/173264
Least Common Multiple of 833,208 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 833,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,208) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,208) x common factors =1 x 1 = 1
LCM(833,208) = ( 833 × 208 ) / 1
LCM(833,208) = 173264 / 1
LCM(833,208) = 173264
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FAQs on GCF of Fractions of 3592/833, 8042/208
1. What is the HCF of 3592,8042?
The HCF of 3592,8042 is 2
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 3592/833, 8042/208?
Answer: GCF of Numerators as per given numbers 3592/833, 8042/208 is
GCF of Numerators i.e. for 3592,8042 is 2
LCM of denominators i.e. for 833,208 is 173264.
Thus, GCF of Fractions is 2/173264.Finally, GCF of Fractions for 3592/833, 8042/208 is 2/173264.