GCF of 8841/206, 1673/8522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8841/206, 1673/8522 i.e 7/877766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8841/206, 1673/8522.
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 8841/206,1673/8522?
Given fractions are 8841/206,1673/8522
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 8841/206,1673/8522, numerators are 8841,1673
Denominators are 206,8522
The GCF of 8841,1673 is 7 .
LCM of 206,8522 is 877766.
The greatest common factor of 8841/206,1673/8522 = [GCF of 8841,1673]/[LCM of 206,8522]= 7/877766
Therefore, the GCF of 8841/206,1673/8522 is 7/877766.
To find the highest common factor of 8841,1673, we have to find the factors of both numbers and list the highest common factor.
The factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841
The factors of 1673 are 1, 7, 239, 1673
The HCF of 8841,1673 is 7.
Lets's calculate GCF of 8841,1673
| 7 | 8841, 1673 |
| 1263, 239 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8841,1673 By Matching Biggest Common Factor Method
Now, list down the factors of 8841
:1,3,7,21,421,1263,2947,8841
Now, list down the factors of 1673
:1,7,239,1673
Greatest Common Factor
We found the factors 8841,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 8841,1673 is 7.
Lets's calculate LCM of 206,8522
| 2 | 206, 8522 |
| 103, 4261 |
∴ So the LCM of the given numbers is 2 x 103 x 4261 = 877766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/877766
Therefore, the GCF of Fractions 8841/206,1673/8522 is 7/877766
Least Common Multiple of 206,8522 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 206,8522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(206,8522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(206,8522) x common factors =2 x 1 = 2
LCM(206,8522) = ( 206 × 8522 ) / 2
LCM(206,8522) = 1755532 / 2
LCM(206,8522) = 877766
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FAQs on GCF of Fractions of 8841/206, 1673/8522
1. What is the HCF of 8841,1673?
The HCF of 8841,1673 is 7
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 8841/206, 1673/8522?
Answer: GCF of Numerators as per given numbers 8841/206, 1673/8522 is
GCF of Numerators i.e. for 8841,1673 is 7
LCM of denominators i.e. for 206,8522 is 877766.
Thus, GCF of Fractions is 7/877766.Finally, GCF of Fractions for 8841/206, 1673/8522 is 7/877766.