GCF of 1645/353, 8869/5274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1645/353, 8869/5274 i.e 7/1861722 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1645/353, 8869/5274.
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 1645/353,8869/5274?
Given fractions are 1645/353,8869/5274
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 1645/353,8869/5274, numerators are 1645,8869
Denominators are 353,5274
The GCF of 1645,8869 is 7 .
LCM of 353,5274 is 1861722.
The greatest common factor of 1645/353,8869/5274 = [GCF of 1645,8869]/[LCM of 353,5274]= 7/1861722
Therefore, the GCF of 1645/353,8869/5274 is 7/1861722.
To find the highest common factor of 1645,8869, we have to find the factors of both numbers and list the highest common factor.
The factors of 1645 are 1, 5, 7, 35, 47, 235, 329, 1645
The factors of 8869 are 1, 7, 49, 181, 1267, 8869
The HCF of 1645,8869 is 7.
Lets's calculate GCF of 1645,8869
| 7 | 1645, 8869 |
| 235, 1267 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1645,8869 By Matching Biggest Common Factor Method
Now, list down the factors of 1645
:1,5,7,35,47,235,329,1645
Now, list down the factors of 8869
:1,7,49,181,1267,8869
Greatest Common Factor
We found the factors 1645,8869 . The biggest common factor number is the GCF number.
So the greatest common factor 1645,8869 is 7.
Lets's calculate LCM of 353,5274
Given numbers has no common factors except 1. So, there LCM is their product i.e 1861722
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1861722
Therefore, the GCF of Fractions 1645/353,8869/5274 is 7/1861722
Least Common Multiple of 353,5274 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 353,5274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,5274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,5274) x common factors =1 x 1 = 1
LCM(353,5274) = ( 353 × 5274 ) / 1
LCM(353,5274) = 1861722 / 1
LCM(353,5274) = 1861722
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FAQs on GCF of Fractions of 1645/353, 8869/5274
1. What is the HCF of 1645,8869?
The HCF of 1645,8869 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 1645/353, 8869/5274?
Answer: GCF of Numerators as per given numbers 1645/353, 8869/5274 is
GCF of Numerators i.e. for 1645,8869 is 7
LCM of denominators i.e. for 353,5274 is 1861722.
Thus, GCF of Fractions is 7/1861722.Finally, GCF of Fractions for 1645/353, 8869/5274 is 7/1861722.