GCF of 80/690, 52/971, 503/426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 80/690, 52/971, 503/426 i.e 1/47569290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 80/690, 52/971, 503/426.
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 80/690,52/971,503/426?
Given fractions are 80/690,52/971,503/426
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 80/690,52/971,503/426, numerators are 80,52,503
Denominators are 690,971,426
The GCF of 80,52,503 is 1 .
LCM of 690,971,426 is 47569290.
The greatest common factor of 80/690,52/971,503/426 = [GCF of 80,52,503]/[LCM of 690,971,426]= 1/47569290
Therefore, the GCF of 80/690,52/971,503/426 is 1/47569290.
To find the highest common factor of 80,52,503, we have to find the factors of both numbers and list the highest common factor.
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 52 are 1, 2, 4, 13, 26, 52
The factors of 503 are 1, 503
The HCF of 80,52,503 is 1.
Lets's calculate GCF of 80,52,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 80,52,503 By Matching Biggest Common Factor Method
Now, list down the factors of 80
:1,2,4,5,8,10,16,20,40,80
Now, list down the factors of 52
:1,2,4,13,26,52
Now, list down the factors of 503
:1,503
Greatest Common Factor
We found the factors 80,52,503 . The biggest common factor number is the GCF number.
So the greatest common factor 80,52,503 is 1.
Lets's calculate LCM of 690,971,426
| 2 | 690, 971, 426 |
| 3 | 345, 971, 213 |
| 115, 971, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 115 x 971 x 71 = 47569290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47569290
Therefore, the GCF of Fractions 80/690,52/971,503/426 is 1/47569290
Least Common Multiple of 690,971,426 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 690,971,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,971,426) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(690,971,426) x common factors =1 x 6 = 6
LCM(690,971,426) = ( 690 × 971 × 426 ) / 6
LCM(690,971,426) = 285415740 / 6
LCM(690,971,426) = 47569290
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FAQs on GCF of Fractions of 80/690, 52/971, 503/426
1. What is the HCF of 80,52,503?
The HCF of 80,52,503 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 80/690, 52/971, 503/426?
Answer: GCF of Numerators as per given numbers 80/690, 52/971, 503/426 is
GCF of Numerators i.e. for 80,52,503 is 1
LCM of denominators i.e. for 690,971,426 is 47569290.
Thus, GCF of Fractions is 1/47569290.Finally, GCF of Fractions for 80/690, 52/971, 503/426 is 1/47569290.