GCF of 64/753, 265/275, 719/434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 64/753, 265/275, 719/434 i.e 1/89870550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 64/753, 265/275, 719/434.
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 64/753,265/275,719/434?
Given fractions are 64/753,265/275,719/434
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 64/753,265/275,719/434, numerators are 64,265,719
Denominators are 753,275,434
The GCF of 64,265,719 is 1 .
LCM of 753,275,434 is 89870550.
The greatest common factor of 64/753,265/275,719/434 = [GCF of 64,265,719]/[LCM of 753,275,434]= 1/89870550
Therefore, the GCF of 64/753,265/275,719/434 is 1/89870550.
To find the highest common factor of 64,265,719, we have to find the factors of both numbers and list the highest common factor.
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 265 are 1, 5, 53, 265
The factors of 719 are 1, 719
The HCF of 64,265,719 is 1.
Lets's calculate GCF of 64,265,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 64,265,719 By Matching Biggest Common Factor Method
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 265
:1,5,53,265
Now, list down the factors of 719
:1,719
Greatest Common Factor
We found the factors 64,265,719 . The biggest common factor number is the GCF number.
So the greatest common factor 64,265,719 is 1.
Lets's calculate LCM of 753,275,434
Given numbers has no common factors except 1. So, there LCM is their product i.e 89870550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89870550
Therefore, the GCF of Fractions 64/753,265/275,719/434 is 1/89870550
Least Common Multiple of 753,275,434 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 753,275,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(753,275,434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(753,275,434) x common factors =1 x 1 = 1
LCM(753,275,434) = ( 753 × 275 × 434 ) / 1
LCM(753,275,434) = 89870550 / 1
LCM(753,275,434) = 89870550
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 64/753, 265/275, 719/434
1. What is the HCF of 64,265,719?
The HCF of 64,265,719 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 64/753, 265/275, 719/434?
Answer: GCF of Numerators as per given numbers 64/753, 265/275, 719/434 is
GCF of Numerators i.e. for 64,265,719 is 1
LCM of denominators i.e. for 753,275,434 is 89870550.
Thus, GCF of Fractions is 1/89870550.Finally, GCF of Fractions for 64/753, 265/275, 719/434 is 1/89870550.