GCF of 7780/992, 7330/5554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7780/992, 7330/5554 i.e 10/2754784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7780/992, 7330/5554.
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 7780/992,7330/5554?
Given fractions are 7780/992,7330/5554
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 7780/992,7330/5554, numerators are 7780,7330
Denominators are 992,5554
The GCF of 7780,7330 is 10 .
LCM of 992,5554 is 2754784.
The greatest common factor of 7780/992,7330/5554 = [GCF of 7780,7330]/[LCM of 992,5554]= 10/2754784
Therefore, the GCF of 7780/992,7330/5554 is 10/2754784.
To find the highest common factor of 7780,7330, we have to find the factors of both numbers and list the highest common factor.
The factors of 7780 are 1, 2, 4, 5, 10, 20, 389, 778, 1556, 1945, 3890, 7780
The factors of 7330 are 1, 2, 5, 10, 733, 1466, 3665, 7330
The HCF of 7780,7330 is 10.
Lets's calculate GCF of 7780,7330
| 2 | 7780, 7330 |
| 5 | 3890, 3665 |
| 778, 733 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7780,7330 By Matching Biggest Common Factor Method
Now, list down the factors of 7780
:1,2,4,5,10,20,389,778,1556,1945,3890,7780
Now, list down the factors of 7330
:1,2,5,10,733,1466,3665,7330
Greatest Common Factor
We found the factors 7780,7330 . The biggest common factor number is the GCF number.
So the greatest common factor 7780,7330 is 10.
Lets's calculate LCM of 992,5554
| 2 | 992, 5554 |
| 496, 2777 |
∴ So the LCM of the given numbers is 2 x 496 x 2777 = 2754784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2754784
Therefore, the GCF of Fractions 7780/992,7330/5554 is 10/2754784
Least Common Multiple of 992,5554 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 992,5554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(992,5554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(992,5554) x common factors =2 x 1 = 2
LCM(992,5554) = ( 992 × 5554 ) / 2
LCM(992,5554) = 5509568 / 2
LCM(992,5554) = 2754784
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FAQs on GCF of Fractions of 7780/992, 7330/5554
1. What is the HCF of 7780,7330?
The HCF of 7780,7330 is 10
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 7780/992, 7330/5554?
Answer: GCF of Numerators as per given numbers 7780/992, 7330/5554 is
GCF of Numerators i.e. for 7780,7330 is 10
LCM of denominators i.e. for 992,5554 is 2754784.
Thus, GCF of Fractions is 10/2754784.Finally, GCF of Fractions for 7780/992, 7330/5554 is 10/2754784.