GCF of 5506/978, 7780/7721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5506/978, 7780/7721 i.e 2/7551138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5506/978, 7780/7721.
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 5506/978,7780/7721?
Given fractions are 5506/978,7780/7721
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 5506/978,7780/7721, numerators are 5506,7780
Denominators are 978,7721
The GCF of 5506,7780 is 2 .
LCM of 978,7721 is 7551138.
The greatest common factor of 5506/978,7780/7721 = [GCF of 5506,7780]/[LCM of 978,7721]= 2/7551138
Therefore, the GCF of 5506/978,7780/7721 is 2/7551138.
To find the highest common factor of 5506,7780, we have to find the factors of both numbers and list the highest common factor.
The factors of 5506 are 1, 2, 2753, 5506
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The HCF of 5506,7780 is 2.
Lets's calculate GCF of 5506,7780
| 2 | 5506, 7780 |
| 2753, 3890 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5506,7780 By Matching Biggest Common Factor Method
Now, list down the factors of 5506
:1,2,2753,5506
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Greatest Common Factor
We found the factors 5506,7780 . The biggest common factor number is the GCF number.
So the greatest common factor 5506,7780 is 2.
Lets's calculate LCM of 978,7721
Given numbers has no common factors except 1. So, there LCM is their product i.e 7551138
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7551138
Therefore, the GCF of Fractions 5506/978,7780/7721 is 2/7551138
Least Common Multiple of 978,7721 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 978,7721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,7721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,7721) x common factors =1 x 1 = 1
LCM(978,7721) = ( 978 × 7721 ) / 1
LCM(978,7721) = 7551138 / 1
LCM(978,7721) = 7551138
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5506/978, 7780/7721
1. What is the HCF of 5506,7780?
The HCF of 5506,7780 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 5506/978, 7780/7721?
Answer: GCF of Numerators as per given numbers 5506/978, 7780/7721 is
GCF of Numerators i.e. for 5506,7780 is 2
LCM of denominators i.e. for 978,7721 is 7551138.
Thus, GCF of Fractions is 2/7551138.Finally, GCF of Fractions for 5506/978, 7780/7721 is 2/7551138.