GCF of 755/772, 3250/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 755/772, 3250/476 i.e 5/91868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 755/772, 3250/476.
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 755/772,3250/476?
Given fractions are 755/772,3250/476
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 755/772,3250/476, numerators are 755,3250
Denominators are 772,476
The GCF of 755,3250 is 5 .
LCM of 772,476 is 91868.
The greatest common factor of 755/772,3250/476 = [GCF of 755,3250]/[LCM of 772,476]= 5/91868
Therefore, the GCF of 755/772,3250/476 is 5/91868.
To find the highest common factor of 755,3250, we have to find the factors of both numbers and list the highest common factor.
The factors of 755 are 1, 5, 151, 755
The factors of 3250 are 1, 2, 5, 10, 13, 25, 26, 50, 65, 125, 130, 250, 325, 650, 1625, 3250
The HCF of 755,3250 is 5.
Lets's calculate GCF of 755,3250
| 5 | 755, 3250 |
| 151, 650 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 755,3250 By Matching Biggest Common Factor Method
Now, list down the factors of 755
:1,5,151,755
Now, list down the factors of 3250
:1,2,5,10,13,25,26,50,65,125,130,250,325,650,1625,3250
Greatest Common Factor
We found the factors 755,3250 . The biggest common factor number is the GCF number.
So the greatest common factor 755,3250 is 5.
Lets's calculate LCM of 772,476
| 2 | 772, 476 |
| 2 | 386, 238 |
| 193, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 119 = 91868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/91868
Therefore, the GCF of Fractions 755/772,3250/476 is 5/91868
Least Common Multiple of 772,476 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 772,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,476) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,476) x common factors =4 x 1 = 4
LCM(772,476) = ( 772 × 476 ) / 4
LCM(772,476) = 367472 / 4
LCM(772,476) = 91868
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FAQs on GCF of Fractions of 755/772, 3250/476
1. What is the HCF of 755,3250?
The HCF of 755,3250 is 5
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 755/772, 3250/476?
Answer: GCF of Numerators as per given numbers 755/772, 3250/476 is
GCF of Numerators i.e. for 755,3250 is 5
LCM of denominators i.e. for 772,476 is 91868.
Thus, GCF of Fractions is 5/91868.Finally, GCF of Fractions for 755/772, 3250/476 is 5/91868.