GCF of 3440/826, 1896/1169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3440/826, 1896/1169 i.e 8/137942 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3440/826, 1896/1169.
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 3440/826,1896/1169?
Given fractions are 3440/826,1896/1169
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 3440/826,1896/1169, numerators are 3440,1896
Denominators are 826,1169
The GCF of 3440,1896 is 8 .
LCM of 826,1169 is 137942.
The greatest common factor of 3440/826,1896/1169 = [GCF of 3440,1896]/[LCM of 826,1169]= 8/137942
Therefore, the GCF of 3440/826,1896/1169 is 8/137942.
To find the highest common factor of 3440,1896, we have to find the factors of both numbers and list the highest common factor.
The factors of 3440 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 43, 80, 86, 172, 215, 344, 430, 688, 860, 1720, 3440
The factors of 1896 are 1, 2, 3, 4, 6, 8, 12, 24, 79, 158, 237, 316, 474, 632, 948, 1896
The HCF of 3440,1896 is 8.
Lets's calculate GCF of 3440,1896
| 2 | 3440, 1896 |
| 2 | 1720, 948 |
| 2 | 860, 474 |
| 430, 237 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3440,1896 By Matching Biggest Common Factor Method
Now, list down the factors of 3440
:1,2,4,5,8,10,16,20,40,43,80,86,172,215,344,430,688,860,1720,3440
Now, list down the factors of 1896
:1,2,3,4,6,8,12,24,79,158,237,316,474,632,948,1896
Greatest Common Factor
We found the factors 3440,1896 . The biggest common factor number is the GCF number.
So the greatest common factor 3440,1896 is 8.
Lets's calculate LCM of 826,1169
| 7 | 826, 1169 |
| 118, 167 |
∴ So the LCM of the given numbers is 7 x 118 x 167 = 137942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/137942
Therefore, the GCF of Fractions 3440/826,1896/1169 is 8/137942
Least Common Multiple of 826,1169 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 826,1169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(826,1169) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(826,1169) x common factors =7 x 1 = 7
LCM(826,1169) = ( 826 × 1169 ) / 7
LCM(826,1169) = 965594 / 7
LCM(826,1169) = 137942
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3440/826, 1896/1169
1. What is the HCF of 3440,1896?
The HCF of 3440,1896 is 8
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 3440/826, 1896/1169?
Answer: GCF of Numerators as per given numbers 3440/826, 1896/1169 is
GCF of Numerators i.e. for 3440,1896 is 8
LCM of denominators i.e. for 826,1169 is 137942.
Thus, GCF of Fractions is 8/137942.Finally, GCF of Fractions for 3440/826, 1896/1169 is 8/137942.