GCF of 4956/901, 7435/5700
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4956/901, 7435/5700 i.e 1/5135700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4956/901, 7435/5700.
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 4956/901,7435/5700?
Given fractions are 4956/901,7435/5700
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 4956/901,7435/5700, numerators are 4956,7435
Denominators are 901,5700
The GCF of 4956,7435 is 1 .
LCM of 901,5700 is 5135700.
The greatest common factor of 4956/901,7435/5700 = [GCF of 4956,7435]/[LCM of 901,5700]= 1/5135700
Therefore, the GCF of 4956/901,7435/5700 is 1/5135700.
To find the highest common factor of 4956,7435, we have to find the factors of both numbers and list the highest common factor.
The factors of 4956 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 59, 84, 118, 177, 236, 354, 413, 708, 826, 1239, 1652, 2478, 4956
The factors of 7435 are 1, 5, 1487, 7435
The HCF of 4956,7435 is 1.
Lets's calculate GCF of 4956,7435
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4956,7435 By Matching Biggest Common Factor Method
Now, list down the factors of 4956
:1,2,3,4,6,7,12,14,21,28,42,59,84,118,177,236,354,413,708,826,1239,1652,2478,4956
Now, list down the factors of 7435
:1,5,1487,7435
Greatest Common Factor
We found the factors 4956,7435 . The biggest common factor number is the GCF number.
So the greatest common factor 4956,7435 is 1.
Lets's calculate LCM of 901,5700
Given numbers has no common factors except 1. So, there LCM is their product i.e 5135700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5135700
Therefore, the GCF of Fractions 4956/901,7435/5700 is 1/5135700
Least Common Multiple of 901,5700 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 901,5700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,5700) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,5700) x common factors =1 x 1 = 1
LCM(901,5700) = ( 901 × 5700 ) / 1
LCM(901,5700) = 5135700 / 1
LCM(901,5700) = 5135700
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FAQs on GCF of Fractions of 4956/901, 7435/5700
1. What is the HCF of 4956,7435?
The HCF of 4956,7435 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 4956/901, 7435/5700?
Answer: GCF of Numerators as per given numbers 4956/901, 7435/5700 is
GCF of Numerators i.e. for 4956,7435 is 1
LCM of denominators i.e. for 901,5700 is 5135700.
Thus, GCF of Fractions is 1/5135700.Finally, GCF of Fractions for 4956/901, 7435/5700 is 1/5135700.