GCF of 1219/965, 8935/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1219/965, 8935/385 i.e 1/74305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1219/965, 8935/385.
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 1219/965,8935/385?
Given fractions are 1219/965,8935/385
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 1219/965,8935/385, numerators are 1219,8935
Denominators are 965,385
The GCF of 1219,8935 is 1 .
LCM of 965,385 is 74305.
The greatest common factor of 1219/965,8935/385 = [GCF of 1219,8935]/[LCM of 965,385]= 1/74305
Therefore, the GCF of 1219/965,8935/385 is 1/74305.
To find the highest common factor of 1219,8935, we have to find the factors of both numbers and list the highest common factor.
The factors of 1219 are 1, 23, 53, 1219
The factors of 8935 are 1, 5, 1787, 8935
The HCF of 1219,8935 is 1.
Lets's calculate GCF of 1219,8935
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1219,8935 By Matching Biggest Common Factor Method
Now, list down the factors of 1219
:1,23,53,1219
Now, list down the factors of 8935
:1,5,1787,8935
Greatest Common Factor
We found the factors 1219,8935 . The biggest common factor number is the GCF number.
So the greatest common factor 1219,8935 is 1.
Lets's calculate LCM of 965,385
| 5 | 965, 385 |
| 193, 77 |
∴ So the LCM of the given numbers is 5 x 193 x 77 = 74305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74305
Therefore, the GCF of Fractions 1219/965,8935/385 is 1/74305
Least Common Multiple of 965,385 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 965,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,385) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,385) x common factors =5 x 1 = 5
LCM(965,385) = ( 965 × 385 ) / 5
LCM(965,385) = 371525 / 5
LCM(965,385) = 74305
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FAQs on GCF of Fractions of 1219/965, 8935/385
1. What is the HCF of 1219,8935?
The HCF of 1219,8935 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 1219/965, 8935/385?
Answer: GCF of Numerators as per given numbers 1219/965, 8935/385 is
GCF of Numerators i.e. for 1219,8935 is 1
LCM of denominators i.e. for 965,385 is 74305.
Thus, GCF of Fractions is 1/74305.Finally, GCF of Fractions for 1219/965, 8935/385 is 1/74305.