GCF of 3494/586, 2792/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3494/586, 2792/850 i.e 2/249050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3494/586, 2792/850.
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 3494/586,2792/850?
Given fractions are 3494/586,2792/850
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 3494/586,2792/850, numerators are 3494,2792
Denominators are 586,850
The GCF of 3494,2792 is 2 .
LCM of 586,850 is 249050.
The greatest common factor of 3494/586,2792/850 = [GCF of 3494,2792]/[LCM of 586,850]= 2/249050
Therefore, the GCF of 3494/586,2792/850 is 2/249050.
To find the highest common factor of 3494,2792, we have to find the factors of both numbers and list the highest common factor.
The factors of 3494 are 1, 2, 1747, 3494
The factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792
The HCF of 3494,2792 is 2.
Lets's calculate GCF of 3494,2792
| 2 | 3494, 2792 |
| 1747, 1396 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3494,2792 By Matching Biggest Common Factor Method
Now, list down the factors of 3494
:1,2,1747,3494
Now, list down the factors of 2792
:1,2,4,8,349,698,1396,2792
Greatest Common Factor
We found the factors 3494,2792 . The biggest common factor number is the GCF number.
So the greatest common factor 3494,2792 is 2.
Lets's calculate LCM of 586,850
| 2 | 586, 850 |
| 293, 425 |
∴ So the LCM of the given numbers is 2 x 293 x 425 = 249050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/249050
Therefore, the GCF of Fractions 3494/586,2792/850 is 2/249050
Least Common Multiple of 586,850 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 586,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(586,850) x common factors =2 x 1 = 2
LCM(586,850) = ( 586 × 850 ) / 2
LCM(586,850) = 498100 / 2
LCM(586,850) = 249050
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FAQs on GCF of Fractions of 3494/586, 2792/850
1. What is the HCF of 3494,2792?
The HCF of 3494,2792 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 3494/586, 2792/850?
Answer: GCF of Numerators as per given numbers 3494/586, 2792/850 is
GCF of Numerators i.e. for 3494,2792 is 2
LCM of denominators i.e. for 586,850 is 249050.
Thus, GCF of Fractions is 2/249050.Finally, GCF of Fractions for 3494/586, 2792/850 is 2/249050.