GCF of 7862/898, 3641/4194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7862/898, 3641/4194 i.e 1/1883106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7862/898, 3641/4194.
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 7862/898,3641/4194?
Given fractions are 7862/898,3641/4194
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 7862/898,3641/4194, numerators are 7862,3641
Denominators are 898,4194
The GCF of 7862,3641 is 1 .
LCM of 898,4194 is 1883106.
The greatest common factor of 7862/898,3641/4194 = [GCF of 7862,3641]/[LCM of 898,4194]= 1/1883106
Therefore, the GCF of 7862/898,3641/4194 is 1/1883106.
To find the highest common factor of 7862,3641, we have to find the factors of both numbers and list the highest common factor.
The factors of 7862 are 1, 2, 3931, 7862
The factors of 3641 are 1, 11, 331, 3641
The HCF of 7862,3641 is 1.
Lets's calculate GCF of 7862,3641
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7862,3641 By Matching Biggest Common Factor Method
Now, list down the factors of 7862
:1,2,3931,7862
Now, list down the factors of 3641
:1,11,331,3641
Greatest Common Factor
We found the factors 7862,3641 . The biggest common factor number is the GCF number.
So the greatest common factor 7862,3641 is 1.
Lets's calculate LCM of 898,4194
| 2 | 898, 4194 |
| 449, 2097 |
∴ So the LCM of the given numbers is 2 x 449 x 2097 = 1883106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1883106
Therefore, the GCF of Fractions 7862/898,3641/4194 is 1/1883106
Least Common Multiple of 898,4194 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 898,4194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(898,4194) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(898,4194) x common factors =2 x 1 = 2
LCM(898,4194) = ( 898 × 4194 ) / 2
LCM(898,4194) = 3766212 / 2
LCM(898,4194) = 1883106
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FAQs on GCF of Fractions of 7862/898, 3641/4194
1. What is the HCF of 7862,3641?
The HCF of 7862,3641 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 7862/898, 3641/4194?
Answer: GCF of Numerators as per given numbers 7862/898, 3641/4194 is
GCF of Numerators i.e. for 7862,3641 is 1
LCM of denominators i.e. for 898,4194 is 1883106.
Thus, GCF of Fractions is 1/1883106.Finally, GCF of Fractions for 7862/898, 3641/4194 is 1/1883106.