GCF of 3943/898, 8608/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3943/898, 8608/674 i.e 1/302626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3943/898, 8608/674.
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 3943/898,8608/674?
Given fractions are 3943/898,8608/674
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 3943/898,8608/674, numerators are 3943,8608
Denominators are 898,674
The GCF of 3943,8608 is 1 .
LCM of 898,674 is 302626.
The greatest common factor of 3943/898,8608/674 = [GCF of 3943,8608]/[LCM of 898,674]= 1/302626
Therefore, the GCF of 3943/898,8608/674 is 1/302626.
To find the highest common factor of 3943,8608, we have to find the factors of both numbers and list the highest common factor.
The factors of 3943 are 1, 3943
The factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608
The HCF of 3943,8608 is 1.
Lets's calculate GCF of 3943,8608
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3943,8608 By Matching Biggest Common Factor Method
Now, list down the factors of 3943
:1,3943
Now, list down the factors of 8608
:1,2,4,8,16,32,269,538,1076,2152,4304,8608
Greatest Common Factor
We found the factors 3943,8608 . The biggest common factor number is the GCF number.
So the greatest common factor 3943,8608 is 1.
Lets's calculate LCM of 898,674
| 2 | 898, 674 |
| 449, 337 |
∴ So the LCM of the given numbers is 2 x 449 x 337 = 302626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302626
Therefore, the GCF of Fractions 3943/898,8608/674 is 1/302626
Least Common Multiple of 898,674 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 898,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,674) x common factors =2 x 1 = 2
LCM(898,674) = ( 898 × 674 ) / 2
LCM(898,674) = 605252 / 2
LCM(898,674) = 302626
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FAQs on GCF of Fractions of 3943/898, 8608/674
1. What is the HCF of 3943,8608?
The HCF of 3943,8608 is 1
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 3943/898, 8608/674?
Answer: GCF of Numerators as per given numbers 3943/898, 8608/674 is
GCF of Numerators i.e. for 3943,8608 is 1
LCM of denominators i.e. for 898,674 is 302626.
Thus, GCF of Fractions is 1/302626.Finally, GCF of Fractions for 3943/898, 8608/674 is 1/302626.