GCF of 5482/127, 3222/1055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5482/127, 3222/1055 i.e 2/133985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/127, 3222/1055.
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 5482/127,3222/1055?
Given fractions are 5482/127,3222/1055
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 5482/127,3222/1055, numerators are 5482,3222
Denominators are 127,1055
The GCF of 5482,3222 is 2 .
LCM of 127,1055 is 133985.
The greatest common factor of 5482/127,3222/1055 = [GCF of 5482,3222]/[LCM of 127,1055]= 2/133985
Therefore, the GCF of 5482/127,3222/1055 is 2/133985.
To find the highest common factor of 5482,3222, we have to find the factors of both numbers and list the highest common factor.
The factors of 5482 are 1, 2, 2741, 5482
The factors of 3222 are 1, 2, 3, 6, 9, 18, 179, 358, 537, 1074, 1611, 3222
The HCF of 5482,3222 is 2.
Lets's calculate GCF of 5482,3222
| 2 | 5482, 3222 |
| 2741, 1611 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5482,3222 By Matching Biggest Common Factor Method
Now, list down the factors of 5482
:1,2,2741,5482
Now, list down the factors of 3222
:1,2,3,6,9,18,179,358,537,1074,1611,3222
Greatest Common Factor
We found the factors 5482,3222 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,3222 is 2.
Lets's calculate LCM of 127,1055
Given numbers has no common factors except 1. So, there LCM is their product i.e 133985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133985
Therefore, the GCF of Fractions 5482/127,3222/1055 is 2/133985
Least Common Multiple of 127,1055 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 127,1055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(127,1055) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(127,1055) x common factors =1 x 1 = 1
LCM(127,1055) = ( 127 × 1055 ) / 1
LCM(127,1055) = 133985 / 1
LCM(127,1055) = 133985
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FAQs on GCF of Fractions of 5482/127, 3222/1055
1. What is the HCF of 5482,3222?
The HCF of 5482,3222 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 5482/127, 3222/1055?
Answer: GCF of Numerators as per given numbers 5482/127, 3222/1055 is
GCF of Numerators i.e. for 5482,3222 is 2
LCM of denominators i.e. for 127,1055 is 133985.
Thus, GCF of Fractions is 2/133985.Finally, GCF of Fractions for 5482/127, 3222/1055 is 2/133985.