GCF of 6262/939, 5770/765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6262/939, 5770/765 i.e 2/239445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6262/939, 5770/765.
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 6262/939,5770/765?
Given fractions are 6262/939,5770/765
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 6262/939,5770/765, numerators are 6262,5770
Denominators are 939,765
The GCF of 6262,5770 is 2 .
LCM of 939,765 is 239445.
The greatest common factor of 6262/939,5770/765 = [GCF of 6262,5770]/[LCM of 939,765]= 2/239445
Therefore, the GCF of 6262/939,5770/765 is 2/239445.
To find the highest common factor of 6262,5770, we have to find the factors of both numbers and list the highest common factor.
The factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262
The factors of 5770 are 1, 2, 5, 10, 577, 1154, 2885, 5770
The HCF of 6262,5770 is 2.
Lets's calculate GCF of 6262,5770
| 2 | 6262, 5770 |
| 3131, 2885 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6262,5770 By Matching Biggest Common Factor Method
Now, list down the factors of 6262
:1,2,31,62,101,202,3131,6262
Now, list down the factors of 5770
:1,2,5,10,577,1154,2885,5770
Greatest Common Factor
We found the factors 6262,5770 . The biggest common factor number is the GCF number.
So the greatest common factor 6262,5770 is 2.
Lets's calculate LCM of 939,765
| 3 | 939, 765 |
| 313, 255 |
∴ So the LCM of the given numbers is 3 x 313 x 255 = 239445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/239445
Therefore, the GCF of Fractions 6262/939,5770/765 is 2/239445
Least Common Multiple of 939,765 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 939,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,765) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,765) x common factors =3 x 1 = 3
LCM(939,765) = ( 939 × 765 ) / 3
LCM(939,765) = 718335 / 3
LCM(939,765) = 239445
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FAQs on GCF of Fractions of 6262/939, 5770/765
1. What is the HCF of 6262,5770?
The HCF of 6262,5770 is 2
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 6262/939, 5770/765?
Answer: GCF of Numerators as per given numbers 6262/939, 5770/765 is
GCF of Numerators i.e. for 6262,5770 is 2
LCM of denominators i.e. for 939,765 is 239445.
Thus, GCF of Fractions is 2/239445.Finally, GCF of Fractions for 6262/939, 5770/765 is 2/239445.