GCF of 5922/513, 1560/8661
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5922/513, 1560/8661 i.e 6/1481031 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5922/513, 1560/8661.
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 5922/513,1560/8661?
Given fractions are 5922/513,1560/8661
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 5922/513,1560/8661, numerators are 5922,1560
Denominators are 513,8661
The GCF of 5922,1560 is 6 .
LCM of 513,8661 is 1481031.
The greatest common factor of 5922/513,1560/8661 = [GCF of 5922,1560]/[LCM of 513,8661]= 6/1481031
Therefore, the GCF of 5922/513,1560/8661 is 6/1481031.
To find the highest common factor of 5922,1560, we have to find the factors of both numbers and list the highest common factor.
The factors of 5922 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 47, 63, 94, 126, 141, 282, 329, 423, 658, 846, 987, 1974, 2961, 5922
The factors of 1560 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 39, 40, 52, 60, 65, 78, 104, 120, 130, 156, 195, 260, 312, 390, 520, 780, 1560
The HCF of 5922,1560 is 6.
Lets's calculate GCF of 5922,1560
| 2 | 5922, 1560 |
| 3 | 2961, 780 |
| 987, 260 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5922,1560 By Matching Biggest Common Factor Method
Now, list down the factors of 5922
:1,2,3,6,7,9,14,18,21,42,47,63,94,126,141,282,329,423,658,846,987,1974,2961,5922
Now, list down the factors of 1560
:1,2,3,4,5,6,8,10,12,13,15,20,24,26,30,39,40,52,60,65,78,104,120,130,156,195,260,312,390,520,780,1560
Greatest Common Factor
We found the factors 5922,1560 . The biggest common factor number is the GCF number.
So the greatest common factor 5922,1560 is 6.
Lets's calculate LCM of 513,8661
| 3 | 513, 8661 |
| 171, 2887 |
∴ So the LCM of the given numbers is 3 x 171 x 2887 = 1481031
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1481031
Therefore, the GCF of Fractions 5922/513,1560/8661 is 6/1481031
Least Common Multiple of 513,8661 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 513,8661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,8661) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(513,8661) x common factors =3 x 1 = 3
LCM(513,8661) = ( 513 × 8661 ) / 3
LCM(513,8661) = 4443093 / 3
LCM(513,8661) = 1481031
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FAQs on GCF of Fractions of 5922/513, 1560/8661
1. What is the HCF of 5922,1560?
The HCF of 5922,1560 is 6
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 5922/513, 1560/8661?
Answer: GCF of Numerators as per given numbers 5922/513, 1560/8661 is
GCF of Numerators i.e. for 5922,1560 is 6
LCM of denominators i.e. for 513,8661 is 1481031.
Thus, GCF of Fractions is 6/1481031.Finally, GCF of Fractions for 5922/513, 1560/8661 is 6/1481031.