GCF of 4915/194, 7688/3068
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4915/194, 7688/3068 i.e 1/297596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4915/194, 7688/3068.
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 4915/194,7688/3068?
Given fractions are 4915/194,7688/3068
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 4915/194,7688/3068, numerators are 4915,7688
Denominators are 194,3068
The GCF of 4915,7688 is 1 .
LCM of 194,3068 is 297596.
The greatest common factor of 4915/194,7688/3068 = [GCF of 4915,7688]/[LCM of 194,3068]= 1/297596
Therefore, the GCF of 4915/194,7688/3068 is 1/297596.
To find the highest common factor of 4915,7688, we have to find the factors of both numbers and list the highest common factor.
The factors of 4915 are 1, 5, 983, 4915
The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688
The HCF of 4915,7688 is 1.
Lets's calculate GCF of 4915,7688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4915,7688 By Matching Biggest Common Factor Method
Now, list down the factors of 4915
:1,5,983,4915
Now, list down the factors of 7688
:1,2,4,8,31,62,124,248,961,1922,3844,7688
Greatest Common Factor
We found the factors 4915,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 4915,7688 is 1.
Lets's calculate LCM of 194,3068
| 2 | 194, 3068 |
| 97, 1534 |
∴ So the LCM of the given numbers is 2 x 97 x 1534 = 297596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297596
Therefore, the GCF of Fractions 4915/194,7688/3068 is 1/297596
Least Common Multiple of 194,3068 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 194,3068 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,3068) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,3068) x common factors =2 x 1 = 2
LCM(194,3068) = ( 194 × 3068 ) / 2
LCM(194,3068) = 595192 / 2
LCM(194,3068) = 297596
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FAQs on GCF of Fractions of 4915/194, 7688/3068
1. What is the HCF of 4915,7688?
The HCF of 4915,7688 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 4915/194, 7688/3068?
Answer: GCF of Numerators as per given numbers 4915/194, 7688/3068 is
GCF of Numerators i.e. for 4915,7688 is 1
LCM of denominators i.e. for 194,3068 is 297596.
Thus, GCF of Fractions is 1/297596.Finally, GCF of Fractions for 4915/194, 7688/3068 is 1/297596.