GCF of 4/15, 64/69, 80/918, 358/762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4/15, 64/69, 80/918, 358/762 i.e 2/13407390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4/15, 64/69, 80/918, 358/762.
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 4/15,64/69,80/918,358/762?
Given fractions are 4/15,64/69,80/918,358/762
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 4/15,64/69,80/918,358/762, numerators are 4,64,80,358
Denominators are 15,69,918,762
The GCF of 4,64,80,358 is 2 .
LCM of 15,69,918,762 is 13407390.
The greatest common factor of 4/15,64/69,80/918,358/762 = [GCF of 4,64,80,358]/[LCM of 15,69,918,762]= 2/13407390
Therefore, the GCF of 4/15,64/69,80/918,358/762 is 2/13407390.
To find the highest common factor of 4,64,80,358, we have to find the factors of both numbers and list the highest common factor.
The factors of 4 are 1, 2, 4
The factors of 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 358 are 1, 2, 179, 358
The HCF of 4,64,80,358 is 2.
Lets's calculate GCF of 4,64,80,358
| 2 | 4, 64, 80, 358 |
| 2, 32, 40, 179 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4,64,80,358 By Matching Biggest Common Factor Method
Now, list down the factors of 4
:1,2,4
Now, list down the factors of 64
:1,2,4,8,16,32,64
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 358
:1,2,179,358
Greatest Common Factor
We found the factors 4,64,80,358 . The biggest common factor number is the GCF number.
So the greatest common factor 4,64,80,358 is 2.
Lets's calculate LCM of 15,69,918,762
| 2 | 15, 69, 918, 762 |
| 3 | 15, 69, 459, 381 |
| 5, 23, 153, 127 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 153 x 127 = 13407390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13407390
Therefore, the GCF of Fractions 4/15,64/69,80/918,358/762 is 2/13407390
Least Common Multiple of 15,69,918,762 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 15,69,918,762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,69,918,762) = 3
common factors(in case of two or more numbers have common factors) = 18
GCF(15,69,918,762) x common factors =3 x 18 = 54
LCM(15,69,918,762) = ( 15 × 69 × 918 × 762 ) / 54
LCM(15,69,918,762) = 723999060 / 54
LCM(15,69,918,762) = 13407390
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4/15, 64/69, 80/918, 358/762
1. What is the HCF of 4,64,80,358?
The HCF of 4,64,80,358 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 4/15, 64/69, 80/918, 358/762?
Answer: GCF of Numerators as per given numbers 4/15, 64/69, 80/918, 358/762 is
GCF of Numerators i.e. for 4,64,80,358 is 2
LCM of denominators i.e. for 15,69,918,762 is 13407390.
Thus, GCF of Fractions is 2/13407390.Finally, GCF of Fractions for 4/15, 64/69, 80/918, 358/762 is 2/13407390.