GCF of 845/41, 234/951
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 845/41, 234/951 i.e 13/38991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 845/41, 234/951.
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 845/41,234/951?
Given fractions are 845/41,234/951
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 845/41,234/951, numerators are 845,234
Denominators are 41,951
The GCF of 845,234 is 13 .
LCM of 41,951 is 38991.
The greatest common factor of 845/41,234/951 = [GCF of 845,234]/[LCM of 41,951]= 13/38991
Therefore, the GCF of 845/41,234/951 is 13/38991.
To find the highest common factor of 845,234, we have to find the factors of both numbers and list the highest common factor.
The factors of 845 are 1, 5, 13, 65, 169, 845
The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 845,234 is 13.
Lets's calculate GCF of 845,234
| 13 | 845, 234 |
| 65, 18 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 845,234 By Matching Biggest Common Factor Method
Now, list down the factors of 845
:1,5,13,65,169,845
Now, list down the factors of 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 845,234 . The biggest common factor number is the GCF number.
So the greatest common factor 845,234 is 13.
Lets's calculate LCM of 41,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 38991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/38991
Therefore, the GCF of Fractions 845/41,234/951 is 13/38991
Least Common Multiple of 41,951 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 41,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,951) x common factors =1 x 1 = 1
LCM(41,951) = ( 41 × 951 ) / 1
LCM(41,951) = 38991 / 1
LCM(41,951) = 38991
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FAQs on GCF of Fractions of 845/41, 234/951
1. What is the HCF of 845,234?
The HCF of 845,234 is 13
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 845/41, 234/951?
Answer: GCF of Numerators as per given numbers 845/41, 234/951 is
GCF of Numerators i.e. for 845,234 is 13
LCM of denominators i.e. for 41,951 is 38991.
Thus, GCF of Fractions is 13/38991.Finally, GCF of Fractions for 845/41, 234/951 is 13/38991.