GCF of 7750/860, 1994/2020
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7750/860, 1994/2020 i.e 2/86860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7750/860, 1994/2020.
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 7750/860,1994/2020?
Given fractions are 7750/860,1994/2020
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 7750/860,1994/2020, numerators are 7750,1994
Denominators are 860,2020
The GCF of 7750,1994 is 2 .
LCM of 860,2020 is 86860.
The greatest common factor of 7750/860,1994/2020 = [GCF of 7750,1994]/[LCM of 860,2020]= 2/86860
Therefore, the GCF of 7750/860,1994/2020 is 2/86860.
To find the highest common factor of 7750,1994, we have to find the factors of both numbers and list the highest common factor.
The factors of 7750 are 1, 2, 5, 10, 25, 31, 50, 62, 125, 155, 250, 310, 775, 1550, 3875, 7750
The factors of 1994 are 1, 2, 997, 1994
The HCF of 7750,1994 is 2.
Lets's calculate GCF of 7750,1994
| 2 | 7750, 1994 |
| 3875, 997 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7750,1994 By Matching Biggest Common Factor Method
Now, list down the factors of 7750
:1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750
Now, list down the factors of 1994
:1,2,997,1994
Greatest Common Factor
We found the factors 7750,1994 . The biggest common factor number is the GCF number.
So the greatest common factor 7750,1994 is 2.
Lets's calculate LCM of 860,2020
| 2 | 860, 2020 |
| 2 | 430, 1010 |
| 5 | 215, 505 |
| 43, 101 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 43 x 101 = 86860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86860
Therefore, the GCF of Fractions 7750/860,1994/2020 is 2/86860
Least Common Multiple of 860,2020 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 860,2020 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,2020) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(860,2020) x common factors =20 x 1 = 20
LCM(860,2020) = ( 860 × 2020 ) / 20
LCM(860,2020) = 1737200 / 20
LCM(860,2020) = 86860
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FAQs on GCF of Fractions of 7750/860, 1994/2020
1. What is the HCF of 7750,1994?
The HCF of 7750,1994 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 7750/860, 1994/2020?
Answer: GCF of Numerators as per given numbers 7750/860, 1994/2020 is
GCF of Numerators i.e. for 7750,1994 is 2
LCM of denominators i.e. for 860,2020 is 86860.
Thus, GCF of Fractions is 2/86860.Finally, GCF of Fractions for 7750/860, 1994/2020 is 2/86860.