GCF of 3962/856, 1154/9449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3962/856, 1154/9449 i.e 2/8088344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3962/856, 1154/9449.
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 3962/856,1154/9449?
Given fractions are 3962/856,1154/9449
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 3962/856,1154/9449, numerators are 3962,1154
Denominators are 856,9449
The GCF of 3962,1154 is 2 .
LCM of 856,9449 is 8088344.
The greatest common factor of 3962/856,1154/9449 = [GCF of 3962,1154]/[LCM of 856,9449]= 2/8088344
Therefore, the GCF of 3962/856,1154/9449 is 2/8088344.
To find the highest common factor of 3962,1154, we have to find the factors of both numbers and list the highest common factor.
The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962
The factors of 1154 are 1, 2, 577, 1154
The HCF of 3962,1154 is 2.
Lets's calculate GCF of 3962,1154
| 2 | 3962, 1154 |
| 1981, 577 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3962,1154 By Matching Biggest Common Factor Method
Now, list down the factors of 3962
:1,2,7,14,283,566,1981,3962
Now, list down the factors of 1154
:1,2,577,1154
Greatest Common Factor
We found the factors 3962,1154 . The biggest common factor number is the GCF number.
So the greatest common factor 3962,1154 is 2.
Lets's calculate LCM of 856,9449
Given numbers has no common factors except 1. So, there LCM is their product i.e 8088344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8088344
Therefore, the GCF of Fractions 3962/856,1154/9449 is 2/8088344
Least Common Multiple of 856,9449 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 856,9449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,9449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,9449) x common factors =1 x 1 = 1
LCM(856,9449) = ( 856 × 9449 ) / 1
LCM(856,9449) = 8088344 / 1
LCM(856,9449) = 8088344
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FAQs on GCF of Fractions of 3962/856, 1154/9449
1. What is the HCF of 3962,1154?
The HCF of 3962,1154 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 3962/856, 1154/9449?
Answer: GCF of Numerators as per given numbers 3962/856, 1154/9449 is
GCF of Numerators i.e. for 3962,1154 is 2
LCM of denominators i.e. for 856,9449 is 8088344.
Thus, GCF of Fractions is 2/8088344.Finally, GCF of Fractions for 3962/856, 1154/9449 is 2/8088344.