GCF of 532/790, 760/247
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 532/790, 760/247 i.e 76/195130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 532/790, 760/247.
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 532/790,760/247?
Given fractions are 532/790,760/247
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 532/790,760/247, numerators are 532,760
Denominators are 790,247
The GCF of 532,760 is 76 .
LCM of 790,247 is 195130.
The greatest common factor of 532/790,760/247 = [GCF of 532,760]/[LCM of 790,247]= 76/195130
Therefore, the GCF of 532/790,760/247 is 76/195130.
To find the highest common factor of 532,760, we have to find the factors of both numbers and list the highest common factor.
The factors of 532 are 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The HCF of 532,760 is 76.
Lets's calculate GCF of 532,760
| 2 | 532, 760 |
| 2 | 266, 380 |
| 19 | 133, 190 |
| 7, 10 |
∴ So the GCF of the given numbers is 2 x 2 x 19 = 76
Greatest Common Factor of 532,760 By Matching Biggest Common Factor Method
Now, list down the factors of 532
:1,2,4,7,14,19,28,38,76,133,266,532
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Greatest Common Factor
We found the factors 532,760 . The biggest common factor number is the GCF number.
So the greatest common factor 532,760 is 76.
Lets's calculate LCM of 790,247
Given numbers has no common factors except 1. So, there LCM is their product i.e 195130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 76/195130
Therefore, the GCF of Fractions 532/790,760/247 is 76/195130
Least Common Multiple of 790,247 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 790,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,247) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,247) x common factors =1 x 1 = 1
LCM(790,247) = ( 790 × 247 ) / 1
LCM(790,247) = 195130 / 1
LCM(790,247) = 195130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 532/790, 760/247
1. What is the HCF of 532,760?
The HCF of 532,760 is 76
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 532/790, 760/247?
Answer: GCF of Numerators as per given numbers 532/790, 760/247 is
GCF of Numerators i.e. for 532,760 is 76
LCM of denominators i.e. for 790,247 is 195130.
Thus, GCF of Fractions is 76/195130.Finally, GCF of Fractions for 532/790, 760/247 is 76/195130.