GCF of 778/777, 1970/849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 778/777, 1970/849 i.e 2/219891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 778/777, 1970/849.
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 778/777,1970/849?
Given fractions are 778/777,1970/849
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 778/777,1970/849, numerators are 778,1970
Denominators are 777,849
The GCF of 778,1970 is 2 .
LCM of 777,849 is 219891.
The greatest common factor of 778/777,1970/849 = [GCF of 778,1970]/[LCM of 777,849]= 2/219891
Therefore, the GCF of 778/777,1970/849 is 2/219891.
To find the highest common factor of 778,1970, we have to find the factors of both numbers and list the highest common factor.
The factors of 778 are 1, 2, 389, 778
The factors of 1970 are 1, 2, 5, 10, 197, 394, 985, 1970
The HCF of 778,1970 is 2.
Lets's calculate GCF of 778,1970
| 2 | 778, 1970 |
| 389, 985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 778,1970 By Matching Biggest Common Factor Method
Now, list down the factors of 778
:1,2,389,778
Now, list down the factors of 1970
:1,2,5,10,197,394,985,1970
Greatest Common Factor
We found the factors 778,1970 . The biggest common factor number is the GCF number.
So the greatest common factor 778,1970 is 2.
Lets's calculate LCM of 777,849
| 3 | 777, 849 |
| 259, 283 |
∴ So the LCM of the given numbers is 3 x 259 x 283 = 219891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/219891
Therefore, the GCF of Fractions 778/777,1970/849 is 2/219891
Least Common Multiple of 777,849 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 777,849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,849) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(777,849) x common factors =3 x 1 = 3
LCM(777,849) = ( 777 × 849 ) / 3
LCM(777,849) = 659673 / 3
LCM(777,849) = 219891
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FAQs on GCF of Fractions of 778/777, 1970/849
1. What is the HCF of 778,1970?
The HCF of 778,1970 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 778/777, 1970/849?
Answer: GCF of Numerators as per given numbers 778/777, 1970/849 is
GCF of Numerators i.e. for 778,1970 is 2
LCM of denominators i.e. for 777,849 is 219891.
Thus, GCF of Fractions is 2/219891.Finally, GCF of Fractions for 778/777, 1970/849 is 2/219891.