GCF of 34/756, 661/640, 810/785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/756, 661/640, 810/785 i.e 1/18990720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/756, 661/640, 810/785.
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 34/756,661/640,810/785?
Given fractions are 34/756,661/640,810/785
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 34/756,661/640,810/785, numerators are 34,661,810
Denominators are 756,640,785
The GCF of 34,661,810 is 1 .
LCM of 756,640,785 is 18990720.
The greatest common factor of 34/756,661/640,810/785 = [GCF of 34,661,810]/[LCM of 756,640,785]= 1/18990720
Therefore, the GCF of 34/756,661/640,810/785 is 1/18990720.
To find the highest common factor of 34,661,810, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 661 are 1, 661
The factors of 810 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
The HCF of 34,661,810 is 1.
Lets's calculate GCF of 34,661,810
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,661,810 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 661
:1,661
Now, list down the factors of 810
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Greatest Common Factor
We found the factors 34,661,810 . The biggest common factor number is the GCF number.
So the greatest common factor 34,661,810 is 1.
Lets's calculate LCM of 756,640,785
| 2 | 756, 640, 785 |
| 2 | 378, 320, 785 |
| 5 | 189, 160, 785 |
| 189, 32, 157 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 189 x 32 x 157 = 18990720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18990720
Therefore, the GCF of Fractions 34/756,661/640,810/785 is 1/18990720
Least Common Multiple of 756,640,785 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 756,640,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,640,785) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(756,640,785) x common factors =1 x 20 = 20
LCM(756,640,785) = ( 756 × 640 × 785 ) / 20
LCM(756,640,785) = 379814400 / 20
LCM(756,640,785) = 18990720
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FAQs on GCF of Fractions of 34/756, 661/640, 810/785
1. What is the HCF of 34,661,810?
The HCF of 34,661,810 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 34/756, 661/640, 810/785?
Answer: GCF of Numerators as per given numbers 34/756, 661/640, 810/785 is
GCF of Numerators i.e. for 34,661,810 is 1
LCM of denominators i.e. for 756,640,785 is 18990720.
Thus, GCF of Fractions is 1/18990720.Finally, GCF of Fractions for 34/756, 661/640, 810/785 is 1/18990720.