GCF of 719/261, 312/615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 719/261, 312/615 i.e 1/53505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 719/261, 312/615.
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 719/261,312/615?
Given fractions are 719/261,312/615
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 719/261,312/615, numerators are 719,312
Denominators are 261,615
The GCF of 719,312 is 1 .
LCM of 261,615 is 53505.
The greatest common factor of 719/261,312/615 = [GCF of 719,312]/[LCM of 261,615]= 1/53505
Therefore, the GCF of 719/261,312/615 is 1/53505.
To find the highest common factor of 719,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 719 are 1, 719
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 719,312 is 1.
Lets's calculate GCF of 719,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 719,312 By Matching Biggest Common Factor Method
Now, list down the factors of 719
:1,719
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 719,312 . The biggest common factor number is the GCF number.
So the greatest common factor 719,312 is 1.
Lets's calculate LCM of 261,615
| 3 | 261, 615 |
| 87, 205 |
∴ So the LCM of the given numbers is 3 x 87 x 205 = 53505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53505
Therefore, the GCF of Fractions 719/261,312/615 is 1/53505
Least Common Multiple of 261,615 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 261,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,615) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(261,615) x common factors =3 x 1 = 3
LCM(261,615) = ( 261 × 615 ) / 3
LCM(261,615) = 160515 / 3
LCM(261,615) = 53505
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FAQs on GCF of Fractions of 719/261, 312/615
1. What is the HCF of 719,312?
The HCF of 719,312 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 719/261, 312/615?
Answer: GCF of Numerators as per given numbers 719/261, 312/615 is
GCF of Numerators i.e. for 719,312 is 1
LCM of denominators i.e. for 261,615 is 53505.
Thus, GCF of Fractions is 1/53505.Finally, GCF of Fractions for 719/261, 312/615 is 1/53505.