GCF of 3092/956, 3875/7640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3092/956, 3875/7640 i.e 1/1825960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3092/956, 3875/7640.
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 3092/956,3875/7640?
Given fractions are 3092/956,3875/7640
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 3092/956,3875/7640, numerators are 3092,3875
Denominators are 956,7640
The GCF of 3092,3875 is 1 .
LCM of 956,7640 is 1825960.
The greatest common factor of 3092/956,3875/7640 = [GCF of 3092,3875]/[LCM of 956,7640]= 1/1825960
Therefore, the GCF of 3092/956,3875/7640 is 1/1825960.
To find the highest common factor of 3092,3875, we have to find the factors of both numbers and list the highest common factor.
The factors of 3092 are 1, 2, 4, 773, 1546, 3092
The factors of 3875 are 1, 5, 25, 31, 125, 155, 775, 3875
The HCF of 3092,3875 is 1.
Lets's calculate GCF of 3092,3875
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3092,3875 By Matching Biggest Common Factor Method
Now, list down the factors of 3092
:1,2,4,773,1546,3092
Now, list down the factors of 3875
:1,5,25,31,125,155,775,3875
Greatest Common Factor
We found the factors 3092,3875 . The biggest common factor number is the GCF number.
So the greatest common factor 3092,3875 is 1.
Lets's calculate LCM of 956,7640
| 2 | 956, 7640 |
| 2 | 478, 3820 |
| 239, 1910 |
∴ So the LCM of the given numbers is 2 x 2 x 239 x 1910 = 1825960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1825960
Therefore, the GCF of Fractions 3092/956,3875/7640 is 1/1825960
Least Common Multiple of 956,7640 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 956,7640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,7640) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(956,7640) x common factors =4 x 1 = 4
LCM(956,7640) = ( 956 × 7640 ) / 4
LCM(956,7640) = 7303840 / 4
LCM(956,7640) = 1825960
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FAQs on GCF of Fractions of 3092/956, 3875/7640
1. What is the HCF of 3092,3875?
The HCF of 3092,3875 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 3092/956, 3875/7640?
Answer: GCF of Numerators as per given numbers 3092/956, 3875/7640 is
GCF of Numerators i.e. for 3092,3875 is 1
LCM of denominators i.e. for 956,7640 is 1825960.
Thus, GCF of Fractions is 1/1825960.Finally, GCF of Fractions for 3092/956, 3875/7640 is 1/1825960.