GCF of 6968/760, 7829/282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6968/760, 7829/282 i.e 1/107160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6968/760, 7829/282.
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 6968/760,7829/282?
Given fractions are 6968/760,7829/282
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 6968/760,7829/282, numerators are 6968,7829
Denominators are 760,282
The GCF of 6968,7829 is 1 .
LCM of 760,282 is 107160.
The greatest common factor of 6968/760,7829/282 = [GCF of 6968,7829]/[LCM of 760,282]= 1/107160
Therefore, the GCF of 6968/760,7829/282 is 1/107160.
To find the highest common factor of 6968,7829, we have to find the factors of both numbers and list the highest common factor.
The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968
The factors of 7829 are 1, 7829
The HCF of 6968,7829 is 1.
Lets's calculate GCF of 6968,7829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6968,7829 By Matching Biggest Common Factor Method
Now, list down the factors of 6968
:1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968
Now, list down the factors of 7829
:1,7829
Greatest Common Factor
We found the factors 6968,7829 . The biggest common factor number is the GCF number.
So the greatest common factor 6968,7829 is 1.
Lets's calculate LCM of 760,282
| 2 | 760, 282 |
| 380, 141 |
∴ So the LCM of the given numbers is 2 x 380 x 141 = 107160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107160
Therefore, the GCF of Fractions 6968/760,7829/282 is 1/107160
Least Common Multiple of 760,282 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 760,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(760,282) x common factors =2 x 1 = 2
LCM(760,282) = ( 760 × 282 ) / 2
LCM(760,282) = 214320 / 2
LCM(760,282) = 107160
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FAQs on GCF of Fractions of 6968/760, 7829/282
1. What is the HCF of 6968,7829?
The HCF of 6968,7829 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 6968/760, 7829/282?
Answer: GCF of Numerators as per given numbers 6968/760, 7829/282 is
GCF of Numerators i.e. for 6968,7829 is 1
LCM of denominators i.e. for 760,282 is 107160.
Thus, GCF of Fractions is 1/107160.Finally, GCF of Fractions for 6968/760, 7829/282 is 1/107160.