GCF of 7906/841, 8318/674
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7906/841, 8318/674 i.e 2/566834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7906/841, 8318/674.
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 7906/841,8318/674?
Given fractions are 7906/841,8318/674
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 7906/841,8318/674, numerators are 7906,8318
Denominators are 841,674
The GCF of 7906,8318 is 2 .
LCM of 841,674 is 566834.
The greatest common factor of 7906/841,8318/674 = [GCF of 7906,8318]/[LCM of 841,674]= 2/566834
Therefore, the GCF of 7906/841,8318/674 is 2/566834.
To find the highest common factor of 7906,8318, we have to find the factors of both numbers and list the highest common factor.
The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906
The factors of 8318 are 1, 2, 4159, 8318
The HCF of 7906,8318 is 2.
Lets's calculate GCF of 7906,8318
| 2 | 7906, 8318 |
| 3953, 4159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7906,8318 By Matching Biggest Common Factor Method
Now, list down the factors of 7906
:1,2,59,67,118,134,3953,7906
Now, list down the factors of 8318
:1,2,4159,8318
Greatest Common Factor
We found the factors 7906,8318 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,8318 is 2.
Lets's calculate LCM of 841,674
Given numbers has no common factors except 1. So, there LCM is their product i.e 566834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/566834
Therefore, the GCF of Fractions 7906/841,8318/674 is 2/566834
Least Common Multiple of 841,674 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 841,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(841,674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(841,674) x common factors =1 x 1 = 1
LCM(841,674) = ( 841 × 674 ) / 1
LCM(841,674) = 566834 / 1
LCM(841,674) = 566834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7906/841, 8318/674
1. What is the HCF of 7906,8318?
The HCF of 7906,8318 is 2
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 7906/841, 8318/674?
Answer: GCF of Numerators as per given numbers 7906/841, 8318/674 is
GCF of Numerators i.e. for 7906,8318 is 2
LCM of denominators i.e. for 841,674 is 566834.
Thus, GCF of Fractions is 2/566834.Finally, GCF of Fractions for 7906/841, 8318/674 is 2/566834.