GCF of 7771/840, 1524/5042
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7771/840, 1524/5042 i.e 1/2117640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7771/840, 1524/5042.
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 7771/840,1524/5042?
Given fractions are 7771/840,1524/5042
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 7771/840,1524/5042, numerators are 7771,1524
Denominators are 840,5042
The GCF of 7771,1524 is 1 .
LCM of 840,5042 is 2117640.
The greatest common factor of 7771/840,1524/5042 = [GCF of 7771,1524]/[LCM of 840,5042]= 1/2117640
Therefore, the GCF of 7771/840,1524/5042 is 1/2117640.
To find the highest common factor of 7771,1524, we have to find the factors of both numbers and list the highest common factor.
The factors of 7771 are 1, 19, 409, 7771
The factors of 1524 are 1, 2, 3, 4, 6, 12, 127, 254, 381, 508, 762, 1524
The HCF of 7771,1524 is 1.
Lets's calculate GCF of 7771,1524
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7771,1524 By Matching Biggest Common Factor Method
Now, list down the factors of 7771
:1,19,409,7771
Now, list down the factors of 1524
:1,2,3,4,6,12,127,254,381,508,762,1524
Greatest Common Factor
We found the factors 7771,1524 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,1524 is 1.
Lets's calculate LCM of 840,5042
| 2 | 840, 5042 |
| 420, 2521 |
∴ So the LCM of the given numbers is 2 x 420 x 2521 = 2117640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2117640
Therefore, the GCF of Fractions 7771/840,1524/5042 is 1/2117640
Least Common Multiple of 840,5042 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 840,5042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,5042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,5042) x common factors =2 x 1 = 2
LCM(840,5042) = ( 840 × 5042 ) / 2
LCM(840,5042) = 4235280 / 2
LCM(840,5042) = 2117640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7771/840, 1524/5042
1. What is the HCF of 7771,1524?
The HCF of 7771,1524 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 7771/840, 1524/5042?
Answer: GCF of Numerators as per given numbers 7771/840, 1524/5042 is
GCF of Numerators i.e. for 7771,1524 is 1
LCM of denominators i.e. for 840,5042 is 2117640.
Thus, GCF of Fractions is 1/2117640.Finally, GCF of Fractions for 7771/840, 1524/5042 is 1/2117640.