GCF of 554/70, 5540/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 554/70, 5540/990 i.e 554/6930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 554/70, 5540/990.
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 554/70,5540/990?
Given fractions are 554/70,5540/990
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 554/70,5540/990, numerators are 554,5540
Denominators are 70,990
The GCF of 554,5540 is 554 .
LCM of 70,990 is 6930.
The greatest common factor of 554/70,5540/990 = [GCF of 554,5540]/[LCM of 70,990]= 554/6930
Therefore, the GCF of 554/70,5540/990 is 554/6930.
To find the highest common factor of 554,5540, we have to find the factors of both numbers and list the highest common factor.
The factors of 554 are 1, 2, 277, 554
The factors of 5540 are 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540
The HCF of 554,5540 is 554.
Lets's calculate GCF of 554,5540
| 2 | 554, 5540 |
| 277 | 277, 2770 |
| 1, 10 |
∴ So the GCF of the given numbers is 2 x 277 = 554
Greatest Common Factor of 554,5540 By Matching Biggest Common Factor Method
Now, list down the factors of 554
:1,2,277,554
Now, list down the factors of 5540
:1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 554,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 554,5540 is 554.
Lets's calculate LCM of 70,990
| 2 | 70, 990 |
| 5 | 35, 495 |
| 7, 99 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 99 = 6930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 554/6930
Therefore, the GCF of Fractions 554/70,5540/990 is 554/6930
Least Common Multiple of 70,990 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 70,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,990) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(70,990) x common factors =10 x 1 = 10
LCM(70,990) = ( 70 × 990 ) / 10
LCM(70,990) = 69300 / 10
LCM(70,990) = 6930
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FAQs on GCF of Fractions of 554/70, 5540/990
1. What is the HCF of 554,5540?
The HCF of 554,5540 is 554
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 554/70, 5540/990?
Answer: GCF of Numerators as per given numbers 554/70, 5540/990 is
GCF of Numerators i.e. for 554,5540 is 554
LCM of denominators i.e. for 70,990 is 6930.
Thus, GCF of Fractions is 554/6930.Finally, GCF of Fractions for 554/70, 5540/990 is 554/6930.