GCF of 3850/507, 6202/7740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3850/507, 6202/7740 i.e 14/1308060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3850/507, 6202/7740.
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 3850/507,6202/7740?
Given fractions are 3850/507,6202/7740
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 3850/507,6202/7740, numerators are 3850,6202
Denominators are 507,7740
The GCF of 3850,6202 is 14 .
LCM of 507,7740 is 1308060.
The greatest common factor of 3850/507,6202/7740 = [GCF of 3850,6202]/[LCM of 507,7740]= 14/1308060
Therefore, the GCF of 3850/507,6202/7740 is 14/1308060.
To find the highest common factor of 3850,6202, we have to find the factors of both numbers and list the highest common factor.
The factors of 3850 are 1, 2, 5, 7, 10, 11, 14, 22, 25, 35, 50, 55, 70, 77, 110, 154, 175, 275, 350, 385, 550, 770, 1925, 3850
The factors of 6202 are 1, 2, 7, 14, 443, 886, 3101, 6202
The HCF of 3850,6202 is 14.
Lets's calculate GCF of 3850,6202
| 2 | 3850, 6202 |
| 7 | 1925, 3101 |
| 275, 443 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 3850,6202 By Matching Biggest Common Factor Method
Now, list down the factors of 3850
:1,2,5,7,10,11,14,22,25,35,50,55,70,77,110,154,175,275,350,385,550,770,1925,3850
Now, list down the factors of 6202
:1,2,7,14,443,886,3101,6202
Greatest Common Factor
We found the factors 3850,6202 . The biggest common factor number is the GCF number.
So the greatest common factor 3850,6202 is 14.
Lets's calculate LCM of 507,7740
| 3 | 507, 7740 |
| 169, 2580 |
∴ So the LCM of the given numbers is 3 x 169 x 2580 = 1308060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1308060
Therefore, the GCF of Fractions 3850/507,6202/7740 is 14/1308060
Least Common Multiple of 507,7740 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 507,7740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,7740) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,7740) x common factors =3 x 1 = 3
LCM(507,7740) = ( 507 × 7740 ) / 3
LCM(507,7740) = 3924180 / 3
LCM(507,7740) = 1308060
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FAQs on GCF of Fractions of 3850/507, 6202/7740
1. What is the HCF of 3850,6202?
The HCF of 3850,6202 is 14
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 3850/507, 6202/7740?
Answer: GCF of Numerators as per given numbers 3850/507, 6202/7740 is
GCF of Numerators i.e. for 3850,6202 is 14
LCM of denominators i.e. for 507,7740 is 1308060.
Thus, GCF of Fractions is 14/1308060.Finally, GCF of Fractions for 3850/507, 6202/7740 is 14/1308060.