GCF of 1657/417, 9672/634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1657/417, 9672/634 i.e 1/264378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1657/417, 9672/634.
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 1657/417,9672/634?
Given fractions are 1657/417,9672/634
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 1657/417,9672/634, numerators are 1657,9672
Denominators are 417,634
The GCF of 1657,9672 is 1 .
LCM of 417,634 is 264378.
The greatest common factor of 1657/417,9672/634 = [GCF of 1657,9672]/[LCM of 417,634]= 1/264378
Therefore, the GCF of 1657/417,9672/634 is 1/264378.
To find the highest common factor of 1657,9672, we have to find the factors of both numbers and list the highest common factor.
The factors of 1657 are 1, 1657
The factors of 9672 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 31, 39, 52, 62, 78, 93, 104, 124, 156, 186, 248, 312, 372, 403, 744, 806, 1209, 1612, 2418, 3224, 4836, 9672
The HCF of 1657,9672 is 1.
Lets's calculate GCF of 1657,9672
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1657,9672 By Matching Biggest Common Factor Method
Now, list down the factors of 1657
:1,1657
Now, list down the factors of 9672
:1,2,3,4,6,8,12,13,24,26,31,39,52,62,78,93,104,124,156,186,248,312,372,403,744,806,1209,1612,2418,3224,4836,9672
Greatest Common Factor
We found the factors 1657,9672 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,9672 is 1.
Lets's calculate LCM of 417,634
Given numbers has no common factors except 1. So, there LCM is their product i.e 264378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264378
Therefore, the GCF of Fractions 1657/417,9672/634 is 1/264378
Least Common Multiple of 417,634 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 417,634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,634) x common factors =1 x 1 = 1
LCM(417,634) = ( 417 × 634 ) / 1
LCM(417,634) = 264378 / 1
LCM(417,634) = 264378
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FAQs on GCF of Fractions of 1657/417, 9672/634
1. What is the HCF of 1657,9672?
The HCF of 1657,9672 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 1657/417, 9672/634?
Answer: GCF of Numerators as per given numbers 1657/417, 9672/634 is
GCF of Numerators i.e. for 1657,9672 is 1
LCM of denominators i.e. for 417,634 is 264378.
Thus, GCF of Fractions is 1/264378.Finally, GCF of Fractions for 1657/417, 9672/634 is 1/264378.