GCF of 4197/662, 2117/1518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4197/662, 2117/1518 i.e 1/502458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4197/662, 2117/1518.
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 4197/662,2117/1518?
Given fractions are 4197/662,2117/1518
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 4197/662,2117/1518, numerators are 4197,2117
Denominators are 662,1518
The GCF of 4197,2117 is 1 .
LCM of 662,1518 is 502458.
The greatest common factor of 4197/662,2117/1518 = [GCF of 4197,2117]/[LCM of 662,1518]= 1/502458
Therefore, the GCF of 4197/662,2117/1518 is 1/502458.
To find the highest common factor of 4197,2117, we have to find the factors of both numbers and list the highest common factor.
The factors of 4197 are 1, 3, 1399, 4197
The factors of 2117 are 1, 29, 73, 2117
The HCF of 4197,2117 is 1.
Lets's calculate GCF of 4197,2117
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4197,2117 By Matching Biggest Common Factor Method
Now, list down the factors of 4197
:1,3,1399,4197
Now, list down the factors of 2117
:1,29,73,2117
Greatest Common Factor
We found the factors 4197,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 4197,2117 is 1.
Lets's calculate LCM of 662,1518
| 2 | 662, 1518 |
| 331, 759 |
∴ So the LCM of the given numbers is 2 x 331 x 759 = 502458
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502458
Therefore, the GCF of Fractions 4197/662,2117/1518 is 1/502458
Least Common Multiple of 662,1518 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 662,1518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(662,1518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(662,1518) x common factors =2 x 1 = 2
LCM(662,1518) = ( 662 × 1518 ) / 2
LCM(662,1518) = 1004916 / 2
LCM(662,1518) = 502458
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FAQs on GCF of Fractions of 4197/662, 2117/1518
1. What is the HCF of 4197,2117?
The HCF of 4197,2117 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 4197/662, 2117/1518?
Answer: GCF of Numerators as per given numbers 4197/662, 2117/1518 is
GCF of Numerators i.e. for 4197,2117 is 1
LCM of denominators i.e. for 662,1518 is 502458.
Thus, GCF of Fractions is 1/502458.Finally, GCF of Fractions for 4197/662, 2117/1518 is 1/502458.