GCF of 110/821, 1674/135
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 110/821, 1674/135 i.e 2/110835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 110/821, 1674/135.
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 110/821,1674/135?
Given fractions are 110/821,1674/135
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 110/821,1674/135, numerators are 110,1674
Denominators are 821,135
The GCF of 110,1674 is 2 .
LCM of 821,135 is 110835.
The greatest common factor of 110/821,1674/135 = [GCF of 110,1674]/[LCM of 821,135]= 2/110835
Therefore, the GCF of 110/821,1674/135 is 2/110835.
To find the highest common factor of 110,1674, we have to find the factors of both numbers and list the highest common factor.
The factors of 110 are 1, 2, 5, 10, 11, 22, 55, 110
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The HCF of 110,1674 is 2.
Lets's calculate GCF of 110,1674
| 2 | 110, 1674 |
| 55, 837 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 110,1674 By Matching Biggest Common Factor Method
Now, list down the factors of 110
:1,2,5,10,11,22,55,110
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Greatest Common Factor
We found the factors 110,1674 . The biggest common factor number is the GCF number.
So the greatest common factor 110,1674 is 2.
Lets's calculate LCM of 821,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 110835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/110835
Therefore, the GCF of Fractions 110/821,1674/135 is 2/110835
Least Common Multiple of 821,135 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 821,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,135) x common factors =1 x 1 = 1
LCM(821,135) = ( 821 × 135 ) / 1
LCM(821,135) = 110835 / 1
LCM(821,135) = 110835
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FAQs on GCF of Fractions of 110/821, 1674/135
1. What is the HCF of 110,1674?
The HCF of 110,1674 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 110/821, 1674/135?
Answer: GCF of Numerators as per given numbers 110/821, 1674/135 is
GCF of Numerators i.e. for 110,1674 is 2
LCM of denominators i.e. for 821,135 is 110835.
Thus, GCF of Fractions is 2/110835.Finally, GCF of Fractions for 110/821, 1674/135 is 2/110835.