GCF of 4646/224, 1958/6467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4646/224, 1958/6467 i.e 2/1448608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4646/224, 1958/6467.
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 4646/224,1958/6467?
Given fractions are 4646/224,1958/6467
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 4646/224,1958/6467, numerators are 4646,1958
Denominators are 224,6467
The GCF of 4646,1958 is 2 .
LCM of 224,6467 is 1448608.
The greatest common factor of 4646/224,1958/6467 = [GCF of 4646,1958]/[LCM of 224,6467]= 2/1448608
Therefore, the GCF of 4646/224,1958/6467 is 2/1448608.
To find the highest common factor of 4646,1958, we have to find the factors of both numbers and list the highest common factor.
The factors of 4646 are 1, 2, 23, 46, 101, 202, 2323, 4646
The factors of 1958 are 1, 2, 11, 22, 89, 178, 979, 1958
The HCF of 4646,1958 is 2.
Lets's calculate GCF of 4646,1958
| 2 | 4646, 1958 |
| 2323, 979 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4646,1958 By Matching Biggest Common Factor Method
Now, list down the factors of 4646
:1,2,23,46,101,202,2323,4646
Now, list down the factors of 1958
:1,2,11,22,89,178,979,1958
Greatest Common Factor
We found the factors 4646,1958 . The biggest common factor number is the GCF number.
So the greatest common factor 4646,1958 is 2.
Lets's calculate LCM of 224,6467
Given numbers has no common factors except 1. So, there LCM is their product i.e 1448608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1448608
Therefore, the GCF of Fractions 4646/224,1958/6467 is 2/1448608
Least Common Multiple of 224,6467 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 224,6467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,6467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,6467) x common factors =1 x 1 = 1
LCM(224,6467) = ( 224 × 6467 ) / 1
LCM(224,6467) = 1448608 / 1
LCM(224,6467) = 1448608
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FAQs on GCF of Fractions of 4646/224, 1958/6467
1. What is the HCF of 4646,1958?
The HCF of 4646,1958 is 2
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 4646/224, 1958/6467?
Answer: GCF of Numerators as per given numbers 4646/224, 1958/6467 is
GCF of Numerators i.e. for 4646,1958 is 2
LCM of denominators i.e. for 224,6467 is 1448608.
Thus, GCF of Fractions is 2/1448608.Finally, GCF of Fractions for 4646/224, 1958/6467 is 2/1448608.