GCF of 1674/115, 5921/8792
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1674/115, 5921/8792 i.e 31/1011080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1674/115, 5921/8792.
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 1674/115,5921/8792?
Given fractions are 1674/115,5921/8792
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 1674/115,5921/8792, numerators are 1674,5921
Denominators are 115,8792
The GCF of 1674,5921 is 31 .
LCM of 115,8792 is 1011080.
The greatest common factor of 1674/115,5921/8792 = [GCF of 1674,5921]/[LCM of 115,8792]= 31/1011080
Therefore, the GCF of 1674/115,5921/8792 is 31/1011080.
To find the highest common factor of 1674,5921, we have to find the factors of both numbers and list the highest common factor.
The factors of 1674 are 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 93, 186, 279, 558, 837, 1674
The factors of 5921 are 1, 31, 191, 5921
The HCF of 1674,5921 is 31.
Lets's calculate GCF of 1674,5921
| 31 | 1674, 5921 |
| 54, 191 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 1674,5921 By Matching Biggest Common Factor Method
Now, list down the factors of 1674
:1,2,3,6,9,18,27,31,54,62,93,186,279,558,837,1674
Now, list down the factors of 5921
:1,31,191,5921
Greatest Common Factor
We found the factors 1674,5921 . The biggest common factor number is the GCF number.
So the greatest common factor 1674,5921 is 31.
Lets's calculate LCM of 115,8792
Given numbers has no common factors except 1. So, there LCM is their product i.e 1011080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/1011080
Therefore, the GCF of Fractions 1674/115,5921/8792 is 31/1011080
Least Common Multiple of 115,8792 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 115,8792 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,8792) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,8792) x common factors =1 x 1 = 1
LCM(115,8792) = ( 115 × 8792 ) / 1
LCM(115,8792) = 1011080 / 1
LCM(115,8792) = 1011080
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FAQs on GCF of Fractions of 1674/115, 5921/8792
1. What is the HCF of 1674,5921?
The HCF of 1674,5921 is 31
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 1674/115, 5921/8792?
Answer: GCF of Numerators as per given numbers 1674/115, 5921/8792 is
GCF of Numerators i.e. for 1674,5921 is 31
LCM of denominators i.e. for 115,8792 is 1011080.
Thus, GCF of Fractions is 31/1011080.Finally, GCF of Fractions for 1674/115, 5921/8792 is 31/1011080.