GCF of 833/680, 612/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 833/680, 612/305 i.e 17/41480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 833/680, 612/305.
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 833/680,612/305?
Given fractions are 833/680,612/305
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 833/680,612/305, numerators are 833,612
Denominators are 680,305
The GCF of 833,612 is 17 .
LCM of 680,305 is 41480.
The greatest common factor of 833/680,612/305 = [GCF of 833,612]/[LCM of 680,305]= 17/41480
Therefore, the GCF of 833/680,612/305 is 17/41480.
To find the highest common factor of 833,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 833 are 1, 7, 17, 49, 119, 833
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 833,612 is 17.
Lets's calculate GCF of 833,612
| 17 | 833, 612 |
| 49, 36 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 833,612 By Matching Biggest Common Factor Method
Now, list down the factors of 833
:1,7,17,49,119,833
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 833,612 . The biggest common factor number is the GCF number.
So the greatest common factor 833,612 is 17.
Lets's calculate LCM of 680,305
| 5 | 680, 305 |
| 136, 61 |
∴ So the LCM of the given numbers is 5 x 136 x 61 = 41480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/41480
Therefore, the GCF of Fractions 833/680,612/305 is 17/41480
Least Common Multiple of 680,305 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 680,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(680,305) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(680,305) x common factors =5 x 1 = 5
LCM(680,305) = ( 680 × 305 ) / 5
LCM(680,305) = 207400 / 5
LCM(680,305) = 41480
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FAQs on GCF of Fractions of 833/680, 612/305
1. What is the HCF of 833,612?
The HCF of 833,612 is 17
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 833/680, 612/305?
Answer: GCF of Numerators as per given numbers 833/680, 612/305 is
GCF of Numerators i.e. for 833,612 is 17
LCM of denominators i.e. for 680,305 is 41480.
Thus, GCF of Fractions is 17/41480.Finally, GCF of Fractions for 833/680, 612/305 is 17/41480.