GCF of 8851/282, 6095/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8851/282, 6095/706 i.e 53/99546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8851/282, 6095/706.
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 8851/282,6095/706?
Given fractions are 8851/282,6095/706
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 8851/282,6095/706, numerators are 8851,6095
Denominators are 282,706
The GCF of 8851,6095 is 53 .
LCM of 282,706 is 99546.
The greatest common factor of 8851/282,6095/706 = [GCF of 8851,6095]/[LCM of 282,706]= 53/99546
Therefore, the GCF of 8851/282,6095/706 is 53/99546.
To find the highest common factor of 8851,6095, we have to find the factors of both numbers and list the highest common factor.
The factors of 8851 are 1, 53, 167, 8851
The factors of 6095 are 1, 5, 23, 53, 115, 265, 1219, 6095
The HCF of 8851,6095 is 53.
Lets's calculate GCF of 8851,6095
| 53 | 8851, 6095 |
| 167, 115 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 8851,6095 By Matching Biggest Common Factor Method
Now, list down the factors of 8851
:1,53,167,8851
Now, list down the factors of 6095
:1,5,23,53,115,265,1219,6095
Greatest Common Factor
We found the factors 8851,6095 . The biggest common factor number is the GCF number.
So the greatest common factor 8851,6095 is 53.
Lets's calculate LCM of 282,706
| 2 | 282, 706 |
| 141, 353 |
∴ So the LCM of the given numbers is 2 x 141 x 353 = 99546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/99546
Therefore, the GCF of Fractions 8851/282,6095/706 is 53/99546
Least Common Multiple of 282,706 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 282,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(282,706) x common factors =2 x 1 = 2
LCM(282,706) = ( 282 × 706 ) / 2
LCM(282,706) = 199092 / 2
LCM(282,706) = 99546
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FAQs on GCF of Fractions of 8851/282, 6095/706
1. What is the HCF of 8851,6095?
The HCF of 8851,6095 is 53
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 8851/282, 6095/706?
Answer: GCF of Numerators as per given numbers 8851/282, 6095/706 is
GCF of Numerators i.e. for 8851,6095 is 53
LCM of denominators i.e. for 282,706 is 99546.
Thus, GCF of Fractions is 53/99546.Finally, GCF of Fractions for 8851/282, 6095/706 is 53/99546.