GCF of 2572/827, 6432/8634
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2572/827, 6432/8634 i.e 4/7140318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2572/827, 6432/8634.
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 2572/827,6432/8634?
Given fractions are 2572/827,6432/8634
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 2572/827,6432/8634, numerators are 2572,6432
Denominators are 827,8634
The GCF of 2572,6432 is 4 .
LCM of 827,8634 is 7140318.
The greatest common factor of 2572/827,6432/8634 = [GCF of 2572,6432]/[LCM of 827,8634]= 4/7140318
Therefore, the GCF of 2572/827,6432/8634 is 4/7140318.
To find the highest common factor of 2572,6432, we have to find the factors of both numbers and list the highest common factor.
The factors of 2572 are 1, 2, 4, 643, 1286, 2572
The factors of 6432 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 67, 96, 134, 201, 268, 402, 536, 804, 1072, 1608, 2144, 3216, 6432
The HCF of 2572,6432 is 4.
Lets's calculate GCF of 2572,6432
| 2 | 2572, 6432 |
| 2 | 1286, 3216 |
| 643, 1608 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2572,6432 By Matching Biggest Common Factor Method
Now, list down the factors of 2572
:1,2,4,643,1286,2572
Now, list down the factors of 6432
:1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 2572,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 2572,6432 is 4.
Lets's calculate LCM of 827,8634
Given numbers has no common factors except 1. So, there LCM is their product i.e 7140318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7140318
Therefore, the GCF of Fractions 2572/827,6432/8634 is 4/7140318
Least Common Multiple of 827,8634 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 827,8634 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,8634) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,8634) x common factors =1 x 1 = 1
LCM(827,8634) = ( 827 × 8634 ) / 1
LCM(827,8634) = 7140318 / 1
LCM(827,8634) = 7140318
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FAQs on GCF of Fractions of 2572/827, 6432/8634
1. What is the HCF of 2572,6432?
The HCF of 2572,6432 is 4
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 2572/827, 6432/8634?
Answer: GCF of Numerators as per given numbers 2572/827, 6432/8634 is
GCF of Numerators i.e. for 2572,6432 is 4
LCM of denominators i.e. for 827,8634 is 7140318.
Thus, GCF of Fractions is 4/7140318.Finally, GCF of Fractions for 2572/827, 6432/8634 is 4/7140318.