GCF of 901/79, 312/949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 901/79, 312/949 i.e 1/74971 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/79, 312/949.
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 901/79,312/949?
Given fractions are 901/79,312/949
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 901/79,312/949, numerators are 901,312
Denominators are 79,949
The GCF of 901,312 is 1 .
LCM of 79,949 is 74971.
The greatest common factor of 901/79,312/949 = [GCF of 901,312]/[LCM of 79,949]= 1/74971
Therefore, the GCF of 901/79,312/949 is 1/74971.
To find the highest common factor of 901,312, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 901,312 is 1.
Lets's calculate GCF of 901,312
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 901,312 By Matching Biggest Common Factor Method
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 901,312 . The biggest common factor number is the GCF number.
So the greatest common factor 901,312 is 1.
Lets's calculate LCM of 79,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 74971
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74971
Therefore, the GCF of Fractions 901/79,312/949 is 1/74971
Least Common Multiple of 79,949 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 79,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,949) x common factors =1 x 1 = 1
LCM(79,949) = ( 79 × 949 ) / 1
LCM(79,949) = 74971 / 1
LCM(79,949) = 74971
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FAQs on GCF of Fractions of 901/79, 312/949
1. What is the HCF of 901,312?
The HCF of 901,312 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 901/79, 312/949?
Answer: GCF of Numerators as per given numbers 901/79, 312/949 is
GCF of Numerators i.e. for 901,312 is 1
LCM of denominators i.e. for 79,949 is 74971.
Thus, GCF of Fractions is 1/74971.Finally, GCF of Fractions for 901/79, 312/949 is 1/74971.