GCF of 7/64, 51/29, 44/353, 534/917
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7/64, 51/29, 44/353, 534/917 i.e 1/600789056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/64, 51/29, 44/353, 534/917.
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 7/64,51/29,44/353,534/917?
Given fractions are 7/64,51/29,44/353,534/917
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 7/64,51/29,44/353,534/917, numerators are 7,51,44,534
Denominators are 64,29,353,917
The GCF of 7,51,44,534 is 1 .
LCM of 64,29,353,917 is 600789056.
The greatest common factor of 7/64,51/29,44/353,534/917 = [GCF of 7,51,44,534]/[LCM of 64,29,353,917]= 1/600789056
Therefore, the GCF of 7/64,51/29,44/353,534/917 is 1/600789056.
To find the highest common factor of 7,51,44,534, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 51 are 1, 3, 17, 51
The factors of 44 are 1, 2, 4, 11, 22, 44
The factors of 534 are 1, 2, 3, 6, 89, 178, 267, 534
The HCF of 7,51,44,534 is 1.
Lets's calculate GCF of 7,51,44,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7,51,44,534 By Matching Biggest Common Factor Method
Now, list down the factors of 7
:1,7
Now, list down the factors of 51
:1,3,17,51
Now, list down the factors of 44
:1,2,4,11,22,44
Now, list down the factors of 534
:1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 7,51,44,534 . The biggest common factor number is the GCF number.
So the greatest common factor 7,51,44,534 is 1.
Lets's calculate LCM of 64,29,353,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 600789056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600789056
Therefore, the GCF of Fractions 7/64,51/29,44/353,534/917 is 1/600789056
Least Common Multiple of 64,29,353,917 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 64,29,353,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,29,353,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,29,353,917) x common factors =1 x 1 = 1
LCM(64,29,353,917) = ( 64 × 29 × 353 × 917 ) / 1
LCM(64,29,353,917) = 600789056 / 1
LCM(64,29,353,917) = 600789056
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FAQs on GCF of Fractions of 7/64, 51/29, 44/353, 534/917
1. What is the HCF of 7,51,44,534?
The HCF of 7,51,44,534 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 7/64, 51/29, 44/353, 534/917?
Answer: GCF of Numerators as per given numbers 7/64, 51/29, 44/353, 534/917 is
GCF of Numerators i.e. for 7,51,44,534 is 1
LCM of denominators i.e. for 64,29,353,917 is 600789056.
Thus, GCF of Fractions is 1/600789056.Finally, GCF of Fractions for 7/64, 51/29, 44/353, 534/917 is 1/600789056.