GCF of 7858/508, 5777/5656
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7858/508, 5777/5656 i.e 1/718312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7858/508, 5777/5656.
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 7858/508,5777/5656?
Given fractions are 7858/508,5777/5656
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 7858/508,5777/5656, numerators are 7858,5777
Denominators are 508,5656
The GCF of 7858,5777 is 1 .
LCM of 508,5656 is 718312.
The greatest common factor of 7858/508,5777/5656 = [GCF of 7858,5777]/[LCM of 508,5656]= 1/718312
Therefore, the GCF of 7858/508,5777/5656 is 1/718312.
To find the highest common factor of 7858,5777, we have to find the factors of both numbers and list the highest common factor.
The factors of 7858 are 1, 2, 3929, 7858
The factors of 5777 are 1, 53, 109, 5777
The HCF of 7858,5777 is 1.
Lets's calculate GCF of 7858,5777
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7858,5777 By Matching Biggest Common Factor Method
Now, list down the factors of 7858
:1,2,3929,7858
Now, list down the factors of 5777
:1,53,109,5777
Greatest Common Factor
We found the factors 7858,5777 . The biggest common factor number is the GCF number.
So the greatest common factor 7858,5777 is 1.
Lets's calculate LCM of 508,5656
| 2 | 508, 5656 |
| 2 | 254, 2828 |
| 127, 1414 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 1414 = 718312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/718312
Therefore, the GCF of Fractions 7858/508,5777/5656 is 1/718312
Least Common Multiple of 508,5656 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 508,5656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,5656) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,5656) x common factors =4 x 1 = 4
LCM(508,5656) = ( 508 × 5656 ) / 4
LCM(508,5656) = 2873248 / 4
LCM(508,5656) = 718312
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FAQs on GCF of Fractions of 7858/508, 5777/5656
1. What is the HCF of 7858,5777?
The HCF of 7858,5777 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 7858/508, 5777/5656?
Answer: GCF of Numerators as per given numbers 7858/508, 5777/5656 is
GCF of Numerators i.e. for 7858,5777 is 1
LCM of denominators i.e. for 508,5656 is 718312.
Thus, GCF of Fractions is 1/718312.Finally, GCF of Fractions for 7858/508, 5777/5656 is 1/718312.