GCF of 11/70, 646/40, 735/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 11/70, 646/40, 735/554 i.e 1/77560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 11/70, 646/40, 735/554.
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 11/70,646/40,735/554?
Given fractions are 11/70,646/40,735/554
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 11/70,646/40,735/554, numerators are 11,646,735
Denominators are 70,40,554
The GCF of 11,646,735 is 1 .
LCM of 70,40,554 is 77560.
The greatest common factor of 11/70,646/40,735/554 = [GCF of 11,646,735]/[LCM of 70,40,554]= 1/77560
Therefore, the GCF of 11/70,646/40,735/554 is 1/77560.
To find the highest common factor of 11,646,735, we have to find the factors of both numbers and list the highest common factor.
The factors of 11 are 1, 11
The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646
The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
The HCF of 11,646,735 is 1.
Lets's calculate GCF of 11,646,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 11,646,735 By Matching Biggest Common Factor Method
Now, list down the factors of 11
:1,11
Now, list down the factors of 646
:1,2,17,19,34,38,323,646
Now, list down the factors of 735
:1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 11,646,735 . The biggest common factor number is the GCF number.
So the greatest common factor 11,646,735 is 1.
Lets's calculate LCM of 70,40,554
| 2 | 70, 40, 554 |
| 5 | 35, 20, 277 |
| 7, 4, 277 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 277 = 77560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77560
Therefore, the GCF of Fractions 11/70,646/40,735/554 is 1/77560
Least Common Multiple of 70,40,554 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 70,40,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,40,554) = 2
common factors(in case of two or more numbers have common factors) = 10
GCF(70,40,554) x common factors =2 x 10 = 20
LCM(70,40,554) = ( 70 × 40 × 554 ) / 20
LCM(70,40,554) = 1551200 / 20
LCM(70,40,554) = 77560
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 11/70, 646/40, 735/554
1. What is the HCF of 11,646,735?
The HCF of 11,646,735 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 11/70, 646/40, 735/554?
Answer: GCF of Numerators as per given numbers 11/70, 646/40, 735/554 is
GCF of Numerators i.e. for 11,646,735 is 1
LCM of denominators i.e. for 70,40,554 is 77560.
Thus, GCF of Fractions is 1/77560.Finally, GCF of Fractions for 11/70, 646/40, 735/554 is 1/77560.