GCF of 992/49, 767/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 992/49, 767/152 i.e 1/7448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 992/49, 767/152.
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 992/49,767/152?
Given fractions are 992/49,767/152
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 992/49,767/152, numerators are 992,767
Denominators are 49,152
The GCF of 992,767 is 1 .
LCM of 49,152 is 7448.
The greatest common factor of 992/49,767/152 = [GCF of 992,767]/[LCM of 49,152]= 1/7448
Therefore, the GCF of 992/49,767/152 is 1/7448.
To find the highest common factor of 992,767, we have to find the factors of both numbers and list the highest common factor.
The factors of 992 are 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
The factors of 767 are 1, 13, 59, 767
The HCF of 992,767 is 1.
Lets's calculate GCF of 992,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 992,767 By Matching Biggest Common Factor Method
Now, list down the factors of 992
:1,2,4,8,16,31,32,62,124,248,496,992
Now, list down the factors of 767
:1,13,59,767
Greatest Common Factor
We found the factors 992,767 . The biggest common factor number is the GCF number.
So the greatest common factor 992,767 is 1.
Lets's calculate LCM of 49,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 7448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7448
Therefore, the GCF of Fractions 992/49,767/152 is 1/7448
Least Common Multiple of 49,152 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 49,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,152) x common factors =1 x 1 = 1
LCM(49,152) = ( 49 × 152 ) / 1
LCM(49,152) = 7448 / 1
LCM(49,152) = 7448
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FAQs on GCF of Fractions of 992/49, 767/152
1. What is the HCF of 992,767?
The HCF of 992,767 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 992/49, 767/152?
Answer: GCF of Numerators as per given numbers 992/49, 767/152 is
GCF of Numerators i.e. for 992,767 is 1
LCM of denominators i.e. for 49,152 is 7448.
Thus, GCF of Fractions is 1/7448.Finally, GCF of Fractions for 992/49, 767/152 is 1/7448.