GCF of 4958/708, 3293/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4958/708, 3293/521 i.e 37/368868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4958/708, 3293/521.
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 4958/708,3293/521?
Given fractions are 4958/708,3293/521
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 4958/708,3293/521, numerators are 4958,3293
Denominators are 708,521
The GCF of 4958,3293 is 37 .
LCM of 708,521 is 368868.
The greatest common factor of 4958/708,3293/521 = [GCF of 4958,3293]/[LCM of 708,521]= 37/368868
Therefore, the GCF of 4958/708,3293/521 is 37/368868.
To find the highest common factor of 4958,3293, we have to find the factors of both numbers and list the highest common factor.
The factors of 4958 are 1, 2, 37, 67, 74, 134, 2479, 4958
The factors of 3293 are 1, 37, 89, 3293
The HCF of 4958,3293 is 37.
Lets's calculate GCF of 4958,3293
| 37 | 4958, 3293 |
| 134, 89 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 4958,3293 By Matching Biggest Common Factor Method
Now, list down the factors of 4958
:1,2,37,67,74,134,2479,4958
Now, list down the factors of 3293
:1,37,89,3293
Greatest Common Factor
We found the factors 4958,3293 . The biggest common factor number is the GCF number.
So the greatest common factor 4958,3293 is 37.
Lets's calculate LCM of 708,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 368868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/368868
Therefore, the GCF of Fractions 4958/708,3293/521 is 37/368868
Least Common Multiple of 708,521 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 708,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(708,521) x common factors =1 x 1 = 1
LCM(708,521) = ( 708 × 521 ) / 1
LCM(708,521) = 368868 / 1
LCM(708,521) = 368868
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FAQs on GCF of Fractions of 4958/708, 3293/521
1. What is the HCF of 4958,3293?
The HCF of 4958,3293 is 37
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 4958/708, 3293/521?
Answer: GCF of Numerators as per given numbers 4958/708, 3293/521 is
GCF of Numerators i.e. for 4958,3293 is 37
LCM of denominators i.e. for 708,521 is 368868.
Thus, GCF of Fractions is 37/368868.Finally, GCF of Fractions for 4958/708, 3293/521 is 37/368868.