GCF of 4024/778, 6991/8282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4024/778, 6991/8282 i.e 1/3221698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4024/778, 6991/8282.
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 4024/778,6991/8282?
Given fractions are 4024/778,6991/8282
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 4024/778,6991/8282, numerators are 4024,6991
Denominators are 778,8282
The GCF of 4024,6991 is 1 .
LCM of 778,8282 is 3221698.
The greatest common factor of 4024/778,6991/8282 = [GCF of 4024,6991]/[LCM of 778,8282]= 1/3221698
Therefore, the GCF of 4024/778,6991/8282 is 1/3221698.
To find the highest common factor of 4024,6991, we have to find the factors of both numbers and list the highest common factor.
The factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024
The factors of 6991 are 1, 6991
The HCF of 4024,6991 is 1.
Lets's calculate GCF of 4024,6991
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4024,6991 By Matching Biggest Common Factor Method
Now, list down the factors of 4024
:1,2,4,8,503,1006,2012,4024
Now, list down the factors of 6991
:1,6991
Greatest Common Factor
We found the factors 4024,6991 . The biggest common factor number is the GCF number.
So the greatest common factor 4024,6991 is 1.
Lets's calculate LCM of 778,8282
| 2 | 778, 8282 |
| 389, 4141 |
∴ So the LCM of the given numbers is 2 x 389 x 4141 = 3221698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3221698
Therefore, the GCF of Fractions 4024/778,6991/8282 is 1/3221698
Least Common Multiple of 778,8282 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 778,8282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,8282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,8282) x common factors =2 x 1 = 2
LCM(778,8282) = ( 778 × 8282 ) / 2
LCM(778,8282) = 6443396 / 2
LCM(778,8282) = 3221698
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FAQs on GCF of Fractions of 4024/778, 6991/8282
1. What is the HCF of 4024,6991?
The HCF of 4024,6991 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 4024/778, 6991/8282?
Answer: GCF of Numerators as per given numbers 4024/778, 6991/8282 is
GCF of Numerators i.e. for 4024,6991 is 1
LCM of denominators i.e. for 778,8282 is 3221698.
Thus, GCF of Fractions is 1/3221698.Finally, GCF of Fractions for 4024/778, 6991/8282 is 1/3221698.