GCF of 3026/109, 1869/1374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3026/109, 1869/1374 i.e 89/149766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3026/109, 1869/1374.
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 3026/109,1869/1374?
Given fractions are 3026/109,1869/1374
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 3026/109,1869/1374, numerators are 3026,1869
Denominators are 109,1374
The GCF of 3026,1869 is 89 .
LCM of 109,1374 is 149766.
The greatest common factor of 3026/109,1869/1374 = [GCF of 3026,1869]/[LCM of 109,1374]= 89/149766
Therefore, the GCF of 3026/109,1869/1374 is 89/149766.
To find the highest common factor of 3026,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 3026 are 1, 2, 17, 34, 89, 178, 1513, 3026
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 3026,1869 is 89.
Lets's calculate GCF of 3026,1869
| 89 | 3026, 1869 |
| 34, 21 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 3026,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 3026
:1,2,17,34,89,178,1513,3026
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 3026,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 3026,1869 is 89.
Lets's calculate LCM of 109,1374
Given numbers has no common factors except 1. So, there LCM is their product i.e 149766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/149766
Therefore, the GCF of Fractions 3026/109,1869/1374 is 89/149766
Least Common Multiple of 109,1374 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 109,1374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,1374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,1374) x common factors =1 x 1 = 1
LCM(109,1374) = ( 109 × 1374 ) / 1
LCM(109,1374) = 149766 / 1
LCM(109,1374) = 149766
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FAQs on GCF of Fractions of 3026/109, 1869/1374
1. What is the HCF of 3026,1869?
The HCF of 3026,1869 is 89
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 3026/109, 1869/1374?
Answer: GCF of Numerators as per given numbers 3026/109, 1869/1374 is
GCF of Numerators i.e. for 3026,1869 is 89
LCM of denominators i.e. for 109,1374 is 149766.
Thus, GCF of Fractions is 89/149766.Finally, GCF of Fractions for 3026/109, 1869/1374 is 89/149766.