GCF of 7927/310, 5922/5768
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7927/310, 5922/5768 i.e 1/894040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7927/310, 5922/5768.
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 7927/310,5922/5768?
Given fractions are 7927/310,5922/5768
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 7927/310,5922/5768, numerators are 7927,5922
Denominators are 310,5768
The GCF of 7927,5922 is 1 .
LCM of 310,5768 is 894040.
The greatest common factor of 7927/310,5922/5768 = [GCF of 7927,5922]/[LCM of 310,5768]= 1/894040
Therefore, the GCF of 7927/310,5922/5768 is 1/894040.
To find the highest common factor of 7927,5922, we have to find the factors of both numbers and list the highest common factor.
The factors of 7927 are 1, 7927
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 HCF of 7927,5922 is 1.
Lets's calculate GCF of 7927,5922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7927,5922 By Matching Biggest Common Factor Method
Now, list down the factors of 7927
:1,7927
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
Greatest Common Factor
We found the factors 7927,5922 . The biggest common factor number is the GCF number.
So the greatest common factor 7927,5922 is 1.
Lets's calculate LCM of 310,5768
| 2 | 310, 5768 |
| 155, 2884 |
∴ So the LCM of the given numbers is 2 x 155 x 2884 = 894040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894040
Therefore, the GCF of Fractions 7927/310,5922/5768 is 1/894040
Least Common Multiple of 310,5768 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 310,5768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,5768) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(310,5768) x common factors =2 x 1 = 2
LCM(310,5768) = ( 310 × 5768 ) / 2
LCM(310,5768) = 1788080 / 2
LCM(310,5768) = 894040
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FAQs on GCF of Fractions of 7927/310, 5922/5768
1. What is the HCF of 7927,5922?
The HCF of 7927,5922 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 7927/310, 5922/5768?
Answer: GCF of Numerators as per given numbers 7927/310, 5922/5768 is
GCF of Numerators i.e. for 7927,5922 is 1
LCM of denominators i.e. for 310,5768 is 894040.
Thus, GCF of Fractions is 1/894040.Finally, GCF of Fractions for 7927/310, 5922/5768 is 1/894040.