GCF of 557/756, 6804/820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 557/756, 6804/820 i.e 1/154980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/756, 6804/820.
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 557/756,6804/820?
Given fractions are 557/756,6804/820
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 557/756,6804/820, numerators are 557,6804
Denominators are 756,820
The GCF of 557,6804 is 1 .
LCM of 756,820 is 154980.
The greatest common factor of 557/756,6804/820 = [GCF of 557,6804]/[LCM of 756,820]= 1/154980
Therefore, the GCF of 557/756,6804/820 is 1/154980.
To find the highest common factor of 557,6804, we have to find the factors of both numbers and list the highest common factor.
The factors of 557 are 1, 557
The factors of 6804 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 243, 252, 324, 378, 486, 567, 756, 972, 1134, 1701, 2268, 3402, 6804
The HCF of 557,6804 is 1.
Lets's calculate GCF of 557,6804
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 557,6804 By Matching Biggest Common Factor Method
Now, list down the factors of 557
:1,557
Now, list down the factors of 6804
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,243,252,324,378,486,567,756,972,1134,1701,2268,3402,6804
Greatest Common Factor
We found the factors 557,6804 . The biggest common factor number is the GCF number.
So the greatest common factor 557,6804 is 1.
Lets's calculate LCM of 756,820
| 2 | 756, 820 |
| 2 | 378, 410 |
| 189, 205 |
∴ So the LCM of the given numbers is 2 x 2 x 189 x 205 = 154980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154980
Therefore, the GCF of Fractions 557/756,6804/820 is 1/154980
Least Common Multiple of 756,820 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 756,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,820) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(756,820) x common factors =4 x 1 = 4
LCM(756,820) = ( 756 × 820 ) / 4
LCM(756,820) = 619920 / 4
LCM(756,820) = 154980
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FAQs on GCF of Fractions of 557/756, 6804/820
1. What is the HCF of 557,6804?
The HCF of 557,6804 is 1
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 557/756, 6804/820?
Answer: GCF of Numerators as per given numbers 557/756, 6804/820 is
GCF of Numerators i.e. for 557,6804 is 1
LCM of denominators i.e. for 756,820 is 154980.
Thus, GCF of Fractions is 1/154980.Finally, GCF of Fractions for 557/756, 6804/820 is 1/154980.