GCF of 4598/701, 3902/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4598/701, 3902/767 i.e 2/537667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4598/701, 3902/767.
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 4598/701,3902/767?
Given fractions are 4598/701,3902/767
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 4598/701,3902/767, numerators are 4598,3902
Denominators are 701,767
The GCF of 4598,3902 is 2 .
LCM of 701,767 is 537667.
The greatest common factor of 4598/701,3902/767 = [GCF of 4598,3902]/[LCM of 701,767]= 2/537667
Therefore, the GCF of 4598/701,3902/767 is 2/537667.
To find the highest common factor of 4598,3902, we have to find the factors of both numbers and list the highest common factor.
The factors of 4598 are 1, 2, 11, 19, 22, 38, 121, 209, 242, 418, 2299, 4598
The factors of 3902 are 1, 2, 1951, 3902
The HCF of 4598,3902 is 2.
Lets's calculate GCF of 4598,3902
| 2 | 4598, 3902 |
| 2299, 1951 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4598,3902 By Matching Biggest Common Factor Method
Now, list down the factors of 4598
:1,2,11,19,22,38,121,209,242,418,2299,4598
Now, list down the factors of 3902
:1,2,1951,3902
Greatest Common Factor
We found the factors 4598,3902 . The biggest common factor number is the GCF number.
So the greatest common factor 4598,3902 is 2.
Lets's calculate LCM of 701,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 537667
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/537667
Therefore, the GCF of Fractions 4598/701,3902/767 is 2/537667
Least Common Multiple of 701,767 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 701,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,767) x common factors =1 x 1 = 1
LCM(701,767) = ( 701 × 767 ) / 1
LCM(701,767) = 537667 / 1
LCM(701,767) = 537667
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FAQs on GCF of Fractions of 4598/701, 3902/767
1. What is the HCF of 4598,3902?
The HCF of 4598,3902 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 4598/701, 3902/767?
Answer: GCF of Numerators as per given numbers 4598/701, 3902/767 is
GCF of Numerators i.e. for 4598,3902 is 2
LCM of denominators i.e. for 701,767 is 537667.
Thus, GCF of Fractions is 2/537667.Finally, GCF of Fractions for 4598/701, 3902/767 is 2/537667.