GCF of 3089/122, 5472/1398
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3089/122, 5472/1398 i.e 1/85278 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3089/122, 5472/1398.
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 3089/122,5472/1398?
Given fractions are 3089/122,5472/1398
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 3089/122,5472/1398, numerators are 3089,5472
Denominators are 122,1398
The GCF of 3089,5472 is 1 .
LCM of 122,1398 is 85278.
The greatest common factor of 3089/122,5472/1398 = [GCF of 3089,5472]/[LCM of 122,1398]= 1/85278
Therefore, the GCF of 3089/122,5472/1398 is 1/85278.
To find the highest common factor of 3089,5472, we have to find the factors of both numbers and list the highest common factor.
The factors of 3089 are 1, 3089
The factors of 5472 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736, 5472
The HCF of 3089,5472 is 1.
Lets's calculate GCF of 3089,5472
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3089,5472 By Matching Biggest Common Factor Method
Now, list down the factors of 3089
:1,3089
Now, list down the factors of 5472
:1,2,3,4,6,8,9,12,16,18,19,24,32,36,38,48,57,72,76,96,114,144,152,171,228,288,304,342,456,608,684,912,1368,1824,2736,5472
Greatest Common Factor
We found the factors 3089,5472 . The biggest common factor number is the GCF number.
So the greatest common factor 3089,5472 is 1.
Lets's calculate LCM of 122,1398
| 2 | 122, 1398 |
| 61, 699 |
∴ So the LCM of the given numbers is 2 x 61 x 699 = 85278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85278
Therefore, the GCF of Fractions 3089/122,5472/1398 is 1/85278
Least Common Multiple of 122,1398 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 122,1398 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,1398) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,1398) x common factors =2 x 1 = 2
LCM(122,1398) = ( 122 × 1398 ) / 2
LCM(122,1398) = 170556 / 2
LCM(122,1398) = 85278
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FAQs on GCF of Fractions of 3089/122, 5472/1398
1. What is the HCF of 3089,5472?
The HCF of 3089,5472 is 1
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 3089/122, 5472/1398?
Answer: GCF of Numerators as per given numbers 3089/122, 5472/1398 is
GCF of Numerators i.e. for 3089,5472 is 1
LCM of denominators i.e. for 122,1398 is 85278.
Thus, GCF of Fractions is 1/85278.Finally, GCF of Fractions for 3089/122, 5472/1398 is 1/85278.