GCF of 49/983, 936/261, 171/154
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 49/983, 936/261, 171/154 i.e 1/39510702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/983, 936/261, 171/154.
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 49/983,936/261,171/154?
Given fractions are 49/983,936/261,171/154
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 49/983,936/261,171/154, numerators are 49,936,171
Denominators are 983,261,154
The GCF of 49,936,171 is 1 .
LCM of 983,261,154 is 39510702.
The greatest common factor of 49/983,936/261,171/154 = [GCF of 49,936,171]/[LCM of 983,261,154]= 1/39510702
Therefore, the GCF of 49/983,936/261,171/154 is 1/39510702.
To find the highest common factor of 49,936,171, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
The factors of 171 are 1, 3, 9, 19, 57, 171
The HCF of 49,936,171 is 1.
Lets's calculate GCF of 49,936,171
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 49,936,171 By Matching Biggest Common Factor Method
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 936
:1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Now, list down the factors of 171
:1,3,9,19,57,171
Greatest Common Factor
We found the factors 49,936,171 . The biggest common factor number is the GCF number.
So the greatest common factor 49,936,171 is 1.
Lets's calculate LCM of 983,261,154
Given numbers has no common factors except 1. So, there LCM is their product i.e 39510702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39510702
Therefore, the GCF of Fractions 49/983,936/261,171/154 is 1/39510702
Least Common Multiple of 983,261,154 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 983,261,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,261,154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,261,154) x common factors =1 x 1 = 1
LCM(983,261,154) = ( 983 × 261 × 154 ) / 1
LCM(983,261,154) = 39510702 / 1
LCM(983,261,154) = 39510702
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FAQs on GCF of Fractions of 49/983, 936/261, 171/154
1. What is the HCF of 49,936,171?
The HCF of 49,936,171 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 49/983, 936/261, 171/154?
Answer: GCF of Numerators as per given numbers 49/983, 936/261, 171/154 is
GCF of Numerators i.e. for 49,936,171 is 1
LCM of denominators i.e. for 983,261,154 is 39510702.
Thus, GCF of Fractions is 1/39510702.Finally, GCF of Fractions for 49/983, 936/261, 171/154 is 1/39510702.