GCF of 6862/905, 7716/5105
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6862/905, 7716/5105 i.e 2/924005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6862/905, 7716/5105.
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 6862/905,7716/5105?
Given fractions are 6862/905,7716/5105
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 6862/905,7716/5105, numerators are 6862,7716
Denominators are 905,5105
The GCF of 6862,7716 is 2 .
LCM of 905,5105 is 924005.
The greatest common factor of 6862/905,7716/5105 = [GCF of 6862,7716]/[LCM of 905,5105]= 2/924005
Therefore, the GCF of 6862/905,7716/5105 is 2/924005.
To find the highest common factor of 6862,7716, we have to find the factors of both numbers and list the highest common factor.
The factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716
The HCF of 6862,7716 is 2.
Lets's calculate GCF of 6862,7716
| 2 | 6862, 7716 |
| 3431, 3858 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6862,7716 By Matching Biggest Common Factor Method
Now, list down the factors of 6862
:1,2,47,73,94,146,3431,6862
Now, list down the factors of 7716
:1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Greatest Common Factor
We found the factors 6862,7716 . The biggest common factor number is the GCF number.
So the greatest common factor 6862,7716 is 2.
Lets's calculate LCM of 905,5105
| 5 | 905, 5105 |
| 181, 1021 |
∴ So the LCM of the given numbers is 5 x 181 x 1021 = 924005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/924005
Therefore, the GCF of Fractions 6862/905,7716/5105 is 2/924005
Least Common Multiple of 905,5105 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 905,5105 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,5105) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(905,5105) x common factors =5 x 1 = 5
LCM(905,5105) = ( 905 × 5105 ) / 5
LCM(905,5105) = 4620025 / 5
LCM(905,5105) = 924005
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FAQs on GCF of Fractions of 6862/905, 7716/5105
1. What is the HCF of 6862,7716?
The HCF of 6862,7716 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 6862/905, 7716/5105?
Answer: GCF of Numerators as per given numbers 6862/905, 7716/5105 is
GCF of Numerators i.e. for 6862,7716 is 2
LCM of denominators i.e. for 905,5105 is 924005.
Thus, GCF of Fractions is 2/924005.Finally, GCF of Fractions for 6862/905, 7716/5105 is 2/924005.