GCF of 2912/530, 8645/5618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2912/530, 8645/5618 i.e 91/28090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2912/530, 8645/5618.
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 2912/530,8645/5618?
Given fractions are 2912/530,8645/5618
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 2912/530,8645/5618, numerators are 2912,8645
Denominators are 530,5618
The GCF of 2912,8645 is 91 .
LCM of 530,5618 is 28090.
The greatest common factor of 2912/530,8645/5618 = [GCF of 2912,8645]/[LCM of 530,5618]= 91/28090
Therefore, the GCF of 2912/530,8645/5618 is 91/28090.
To find the highest common factor of 2912,8645, we have to find the factors of both numbers and list the highest common factor.
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The factors of 8645 are 1, 5, 7, 13, 19, 35, 65, 91, 95, 133, 247, 455, 665, 1235, 1729, 8645
The HCF of 2912,8645 is 91.
Lets's calculate GCF of 2912,8645
| 7 | 2912, 8645 |
| 13 | 416, 1235 |
| 32, 95 |
∴ So the GCF of the given numbers is 7 x 13 = 91
Greatest Common Factor of 2912,8645 By Matching Biggest Common Factor Method
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Now, list down the factors of 8645
:1,5,7,13,19,35,65,91,95,133,247,455,665,1235,1729,8645
Greatest Common Factor
We found the factors 2912,8645 . The biggest common factor number is the GCF number.
So the greatest common factor 2912,8645 is 91.
Lets's calculate LCM of 530,5618
| 2 | 530, 5618 |
| 53 | 265, 2809 |
| 5, 53 |
∴ So the LCM of the given numbers is 2 x 53 x 5 x 53 = 28090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/28090
Therefore, the GCF of Fractions 2912/530,8645/5618 is 91/28090
Least Common Multiple of 530,5618 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 530,5618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,5618) = 106
common factors(in case of two or more numbers have common factors) = 1
GCF(530,5618) x common factors =106 x 1 = 106
LCM(530,5618) = ( 530 × 5618 ) / 106
LCM(530,5618) = 2977540 / 106
LCM(530,5618) = 28090
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FAQs on GCF of Fractions of 2912/530, 8645/5618
1. What is the HCF of 2912,8645?
The HCF of 2912,8645 is 91
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 2912/530, 8645/5618?
Answer: GCF of Numerators as per given numbers 2912/530, 8645/5618 is
GCF of Numerators i.e. for 2912,8645 is 91
LCM of denominators i.e. for 530,5618 is 28090.
Thus, GCF of Fractions is 91/28090.Finally, GCF of Fractions for 2912/530, 8645/5618 is 91/28090.