GCF of 1733/615, 7752/7959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1733/615, 7752/7959 i.e 1/1631595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1733/615, 7752/7959.
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 1733/615,7752/7959?
Given fractions are 1733/615,7752/7959
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 1733/615,7752/7959, numerators are 1733,7752
Denominators are 615,7959
The GCF of 1733,7752 is 1 .
LCM of 615,7959 is 1631595.
The greatest common factor of 1733/615,7752/7959 = [GCF of 1733,7752]/[LCM of 615,7959]= 1/1631595
Therefore, the GCF of 1733/615,7752/7959 is 1/1631595.
To find the highest common factor of 1733,7752, we have to find the factors of both numbers and list the highest common factor.
The factors of 1733 are 1, 1733
The factors of 7752 are 1, 2, 3, 4, 6, 8, 12, 17, 19, 24, 34, 38, 51, 57, 68, 76, 102, 114, 136, 152, 204, 228, 323, 408, 456, 646, 969, 1292, 1938, 2584, 3876, 7752
The HCF of 1733,7752 is 1.
Lets's calculate GCF of 1733,7752
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1733,7752 By Matching Biggest Common Factor Method
Now, list down the factors of 1733
:1,1733
Now, list down the factors of 7752
:1,2,3,4,6,8,12,17,19,24,34,38,51,57,68,76,102,114,136,152,204,228,323,408,456,646,969,1292,1938,2584,3876,7752
Greatest Common Factor
We found the factors 1733,7752 . The biggest common factor number is the GCF number.
So the greatest common factor 1733,7752 is 1.
Lets's calculate LCM of 615,7959
| 3 | 615, 7959 |
| 205, 2653 |
∴ So the LCM of the given numbers is 3 x 205 x 2653 = 1631595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1631595
Therefore, the GCF of Fractions 1733/615,7752/7959 is 1/1631595
Least Common Multiple of 615,7959 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 615,7959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,7959) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,7959) x common factors =3 x 1 = 3
LCM(615,7959) = ( 615 × 7959 ) / 3
LCM(615,7959) = 4894785 / 3
LCM(615,7959) = 1631595
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FAQs on GCF of Fractions of 1733/615, 7752/7959
1. What is the HCF of 1733,7752?
The HCF of 1733,7752 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 1733/615, 7752/7959?
Answer: GCF of Numerators as per given numbers 1733/615, 7752/7959 is
GCF of Numerators i.e. for 1733,7752 is 1
LCM of denominators i.e. for 615,7959 is 1631595.
Thus, GCF of Fractions is 1/1631595.Finally, GCF of Fractions for 1733/615, 7752/7959 is 1/1631595.