GCF of 5251/708, 6934/6105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5251/708, 6934/6105 i.e 1/1440780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5251/708, 6934/6105.
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 5251/708,6934/6105?
Given fractions are 5251/708,6934/6105
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 5251/708,6934/6105, numerators are 5251,6934
Denominators are 708,6105
The GCF of 5251,6934 is 1 .
LCM of 708,6105 is 1440780.
The greatest common factor of 5251/708,6934/6105 = [GCF of 5251,6934]/[LCM of 708,6105]= 1/1440780
Therefore, the GCF of 5251/708,6934/6105 is 1/1440780.
To find the highest common factor of 5251,6934, we have to find the factors of both numbers and list the highest common factor.
The factors of 5251 are 1, 59, 89, 5251
The factors of 6934 are 1, 2, 3467, 6934
The HCF of 5251,6934 is 1.
Lets's calculate GCF of 5251,6934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5251,6934 By Matching Biggest Common Factor Method
Now, list down the factors of 5251
:1,59,89,5251
Now, list down the factors of 6934
:1,2,3467,6934
Greatest Common Factor
We found the factors 5251,6934 . The biggest common factor number is the GCF number.
So the greatest common factor 5251,6934 is 1.
Lets's calculate LCM of 708,6105
| 3 | 708, 6105 |
| 236, 2035 |
∴ So the LCM of the given numbers is 3 x 236 x 2035 = 1440780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1440780
Therefore, the GCF of Fractions 5251/708,6934/6105 is 1/1440780
Least Common Multiple of 708,6105 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 708,6105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(708,6105) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(708,6105) x common factors =3 x 1 = 3
LCM(708,6105) = ( 708 × 6105 ) / 3
LCM(708,6105) = 4322340 / 3
LCM(708,6105) = 1440780
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FAQs on GCF of Fractions of 5251/708, 6934/6105
1. What is the HCF of 5251,6934?
The HCF of 5251,6934 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 5251/708, 6934/6105?
Answer: GCF of Numerators as per given numbers 5251/708, 6934/6105 is
GCF of Numerators i.e. for 5251,6934 is 1
LCM of denominators i.e. for 708,6105 is 1440780.
Thus, GCF of Fractions is 1/1440780.Finally, GCF of Fractions for 5251/708, 6934/6105 is 1/1440780.