GCF of 1082/960, 6814/9740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/960, 6814/9740 i.e 2/467520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/960, 6814/9740.
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 1082/960,6814/9740?
Given fractions are 1082/960,6814/9740
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 1082/960,6814/9740, numerators are 1082,6814
Denominators are 960,9740
The GCF of 1082,6814 is 2 .
LCM of 960,9740 is 467520.
The greatest common factor of 1082/960,6814/9740 = [GCF of 1082,6814]/[LCM of 960,9740]= 2/467520
Therefore, the GCF of 1082/960,6814/9740 is 2/467520.
To find the highest common factor of 1082,6814, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 6814 are 1, 2, 3407, 6814
The HCF of 1082,6814 is 2.
Lets's calculate GCF of 1082,6814
| 2 | 1082, 6814 |
| 541, 3407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1082,6814 By Matching Biggest Common Factor Method
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 6814
:1,2,3407,6814
Greatest Common Factor
We found the factors 1082,6814 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,6814 is 2.
Lets's calculate LCM of 960,9740
| 2 | 960, 9740 |
| 2 | 480, 4870 |
| 5 | 240, 2435 |
| 48, 487 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 48 x 487 = 467520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/467520
Therefore, the GCF of Fractions 1082/960,6814/9740 is 2/467520
Least Common Multiple of 960,9740 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 960,9740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,9740) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(960,9740) x common factors =20 x 1 = 20
LCM(960,9740) = ( 960 × 9740 ) / 20
LCM(960,9740) = 9350400 / 20
LCM(960,9740) = 467520
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FAQs on GCF of Fractions of 1082/960, 6814/9740
1. What is the HCF of 1082,6814?
The HCF of 1082,6814 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 1082/960, 6814/9740?
Answer: GCF of Numerators as per given numbers 1082/960, 6814/9740 is
GCF of Numerators i.e. for 1082,6814 is 2
LCM of denominators i.e. for 960,9740 is 467520.
Thus, GCF of Fractions is 2/467520.Finally, GCF of Fractions for 1082/960, 6814/9740 is 2/467520.