GCF of 36/257, 956/175, 467/348
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 36/257, 956/175, 467/348 i.e 1/15651300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 36/257, 956/175, 467/348.
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 36/257,956/175,467/348?
Given fractions are 36/257,956/175,467/348
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 36/257,956/175,467/348, numerators are 36,956,467
Denominators are 257,175,348
The GCF of 36,956,467 is 1 .
LCM of 257,175,348 is 15651300.
The greatest common factor of 36/257,956/175,467/348 = [GCF of 36,956,467]/[LCM of 257,175,348]= 1/15651300
Therefore, the GCF of 36/257,956/175,467/348 is 1/15651300.
To find the highest common factor of 36,956,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 956 are 1, 2, 4, 239, 478, 956
The factors of 467 are 1, 467
The HCF of 36,956,467 is 1.
Lets's calculate GCF of 36,956,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 36,956,467 By Matching Biggest Common Factor Method
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 956
:1,2,4,239,478,956
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 36,956,467 . The biggest common factor number is the GCF number.
So the greatest common factor 36,956,467 is 1.
Lets's calculate LCM of 257,175,348
Given numbers has no common factors except 1. So, there LCM is their product i.e 15651300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15651300
Therefore, the GCF of Fractions 36/257,956/175,467/348 is 1/15651300
Least Common Multiple of 257,175,348 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 257,175,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(257,175,348) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(257,175,348) x common factors =1 x 1 = 1
LCM(257,175,348) = ( 257 × 175 × 348 ) / 1
LCM(257,175,348) = 15651300 / 1
LCM(257,175,348) = 15651300
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FAQs on GCF of Fractions of 36/257, 956/175, 467/348
1. What is the HCF of 36,956,467?
The HCF of 36,956,467 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 36/257, 956/175, 467/348?
Answer: GCF of Numerators as per given numbers 36/257, 956/175, 467/348 is
GCF of Numerators i.e. for 36,956,467 is 1
LCM of denominators i.e. for 257,175,348 is 15651300.
Thus, GCF of Fractions is 1/15651300.Finally, GCF of Fractions for 36/257, 956/175, 467/348 is 1/15651300.