GCF of 770/253, 491/550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 770/253, 491/550 i.e 1/12650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 770/253, 491/550.
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 770/253,491/550?
Given fractions are 770/253,491/550
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 770/253,491/550, numerators are 770,491
Denominators are 253,550
The GCF of 770,491 is 1 .
LCM of 253,550 is 12650.
The greatest common factor of 770/253,491/550 = [GCF of 770,491]/[LCM of 253,550]= 1/12650
Therefore, the GCF of 770/253,491/550 is 1/12650.
To find the highest common factor of 770,491, we have to find the factors of both numbers and list the highest common factor.
The factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
The factors of 491 are 1, 491
The HCF of 770,491 is 1.
Lets's calculate GCF of 770,491
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 770,491 By Matching Biggest Common Factor Method
Now, list down the factors of 770
:1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Now, list down the factors of 491
:1,491
Greatest Common Factor
We found the factors 770,491 . The biggest common factor number is the GCF number.
So the greatest common factor 770,491 is 1.
Lets's calculate LCM of 253,550
| 11 | 253, 550 |
| 23, 50 |
∴ So the LCM of the given numbers is 11 x 23 x 50 = 12650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12650
Therefore, the GCF of Fractions 770/253,491/550 is 1/12650
Least Common Multiple of 253,550 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 253,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(253,550) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(253,550) x common factors =11 x 1 = 11
LCM(253,550) = ( 253 × 550 ) / 11
LCM(253,550) = 139150 / 11
LCM(253,550) = 12650
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FAQs on GCF of Fractions of 770/253, 491/550
1. What is the HCF of 770,491?
The HCF of 770,491 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 770/253, 491/550?
Answer: GCF of Numerators as per given numbers 770/253, 491/550 is
GCF of Numerators i.e. for 770,491 is 1
LCM of denominators i.e. for 253,550 is 12650.
Thus, GCF of Fractions is 1/12650.Finally, GCF of Fractions for 770/253, 491/550 is 1/12650.