GCF of 4838/705, 7970/753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4838/705, 7970/753 i.e 2/176955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4838/705, 7970/753.
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 4838/705,7970/753?
Given fractions are 4838/705,7970/753
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 4838/705,7970/753, numerators are 4838,7970
Denominators are 705,753
The GCF of 4838,7970 is 2 .
LCM of 705,753 is 176955.
The greatest common factor of 4838/705,7970/753 = [GCF of 4838,7970]/[LCM of 705,753]= 2/176955
Therefore, the GCF of 4838/705,7970/753 is 2/176955.
To find the highest common factor of 4838,7970, we have to find the factors of both numbers and list the highest common factor.
The factors of 4838 are 1, 2, 41, 59, 82, 118, 2419, 4838
The factors of 7970 are 1, 2, 5, 10, 797, 1594, 3985, 7970
The HCF of 4838,7970 is 2.
Lets's calculate GCF of 4838,7970
| 2 | 4838, 7970 |
| 2419, 3985 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4838,7970 By Matching Biggest Common Factor Method
Now, list down the factors of 4838
:1,2,41,59,82,118,2419,4838
Now, list down the factors of 7970
:1,2,5,10,797,1594,3985,7970
Greatest Common Factor
We found the factors 4838,7970 . The biggest common factor number is the GCF number.
So the greatest common factor 4838,7970 is 2.
Lets's calculate LCM of 705,753
| 3 | 705, 753 |
| 235, 251 |
∴ So the LCM of the given numbers is 3 x 235 x 251 = 176955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176955
Therefore, the GCF of Fractions 4838/705,7970/753 is 2/176955
Least Common Multiple of 705,753 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 705,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,753) x common factors =3 x 1 = 3
LCM(705,753) = ( 705 × 753 ) / 3
LCM(705,753) = 530865 / 3
LCM(705,753) = 176955
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FAQs on GCF of Fractions of 4838/705, 7970/753
1. What is the HCF of 4838,7970?
The HCF of 4838,7970 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 4838/705, 7970/753?
Answer: GCF of Numerators as per given numbers 4838/705, 7970/753 is
GCF of Numerators i.e. for 4838,7970 is 2
LCM of denominators i.e. for 705,753 is 176955.
Thus, GCF of Fractions is 2/176955.Finally, GCF of Fractions for 4838/705, 7970/753 is 2/176955.