GCF of 3802/676, 7770/9314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3802/676, 7770/9314 i.e 2/3148132 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3802/676, 7770/9314.
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 3802/676,7770/9314?
Given fractions are 3802/676,7770/9314
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 3802/676,7770/9314, numerators are 3802,7770
Denominators are 676,9314
The GCF of 3802,7770 is 2 .
LCM of 676,9314 is 3148132.
The greatest common factor of 3802/676,7770/9314 = [GCF of 3802,7770]/[LCM of 676,9314]= 2/3148132
Therefore, the GCF of 3802/676,7770/9314 is 2/3148132.
To find the highest common factor of 3802,7770, we have to find the factors of both numbers and list the highest common factor.
The factors of 3802 are 1, 2, 1901, 3802
The factors of 7770 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 37, 42, 70, 74, 105, 111, 185, 210, 222, 259, 370, 518, 555, 777, 1110, 1295, 1554, 2590, 3885, 7770
The HCF of 3802,7770 is 2.
Lets's calculate GCF of 3802,7770
| 2 | 3802, 7770 |
| 1901, 3885 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3802,7770 By Matching Biggest Common Factor Method
Now, list down the factors of 3802
:1,2,1901,3802
Now, list down the factors of 7770
:1,2,3,5,6,7,10,14,15,21,30,35,37,42,70,74,105,111,185,210,222,259,370,518,555,777,1110,1295,1554,2590,3885,7770
Greatest Common Factor
We found the factors 3802,7770 . The biggest common factor number is the GCF number.
So the greatest common factor 3802,7770 is 2.
Lets's calculate LCM of 676,9314
| 2 | 676, 9314 |
| 338, 4657 |
∴ So the LCM of the given numbers is 2 x 338 x 4657 = 3148132
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3148132
Therefore, the GCF of Fractions 3802/676,7770/9314 is 2/3148132
Least Common Multiple of 676,9314 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 676,9314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,9314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(676,9314) x common factors =2 x 1 = 2
LCM(676,9314) = ( 676 × 9314 ) / 2
LCM(676,9314) = 6296264 / 2
LCM(676,9314) = 3148132
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3802/676, 7770/9314
1. What is the HCF of 3802,7770?
The HCF of 3802,7770 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 3802/676, 7770/9314?
Answer: GCF of Numerators as per given numbers 3802/676, 7770/9314 is
GCF of Numerators i.e. for 3802,7770 is 2
LCM of denominators i.e. for 676,9314 is 3148132.
Thus, GCF of Fractions is 2/3148132.Finally, GCF of Fractions for 3802/676, 7770/9314 is 2/3148132.