GCF of 5922/749, 3066/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5922/749, 3066/961 i.e 42/719789 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5922/749, 3066/961.
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 5922/749,3066/961?
Given fractions are 5922/749,3066/961
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 5922/749,3066/961, numerators are 5922,3066
Denominators are 749,961
The GCF of 5922,3066 is 42 .
LCM of 749,961 is 719789.
The greatest common factor of 5922/749,3066/961 = [GCF of 5922,3066]/[LCM of 749,961]= 42/719789
Therefore, the GCF of 5922/749,3066/961 is 42/719789.
To find the highest common factor of 5922,3066, 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 3066 are 1, 2, 3, 6, 7, 14, 21, 42, 73, 146, 219, 438, 511, 1022, 1533, 3066
The HCF of 5922,3066 is 42.
Lets's calculate GCF of 5922,3066
| 2 | 5922, 3066 |
| 3 | 2961, 1533 |
| 7 | 987, 511 |
| 141, 73 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 5922,3066 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 3066
:1,2,3,6,7,14,21,42,73,146,219,438,511,1022,1533,3066
Greatest Common Factor
We found the factors 5922,3066 . The biggest common factor number is the GCF number.
So the greatest common factor 5922,3066 is 42.
Lets's calculate LCM of 749,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 719789
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/719789
Therefore, the GCF of Fractions 5922/749,3066/961 is 42/719789
Least Common Multiple of 749,961 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 749,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,961) x common factors =1 x 1 = 1
LCM(749,961) = ( 749 × 961 ) / 1
LCM(749,961) = 719789 / 1
LCM(749,961) = 719789
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FAQs on GCF of Fractions of 5922/749, 3066/961
1. What is the HCF of 5922,3066?
The HCF of 5922,3066 is 42
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 5922/749, 3066/961?
Answer: GCF of Numerators as per given numbers 5922/749, 3066/961 is
GCF of Numerators i.e. for 5922,3066 is 42
LCM of denominators i.e. for 749,961 is 719789.
Thus, GCF of Fractions is 42/719789.Finally, GCF of Fractions for 5922/749, 3066/961 is 42/719789.