GCF of 6570/645, 7176/7245
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6570/645, 7176/7245 i.e 6/311535 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6570/645, 7176/7245.
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 6570/645,7176/7245?
Given fractions are 6570/645,7176/7245
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 6570/645,7176/7245, numerators are 6570,7176
Denominators are 645,7245
The GCF of 6570,7176 is 6 .
LCM of 645,7245 is 311535.
The greatest common factor of 6570/645,7176/7245 = [GCF of 6570,7176]/[LCM of 645,7245]= 6/311535
Therefore, the GCF of 6570/645,7176/7245 is 6/311535.
To find the highest common factor of 6570,7176, we have to find the factors of both numbers and list the highest common factor.
The factors of 6570 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 73, 90, 146, 219, 365, 438, 657, 730, 1095, 1314, 2190, 3285, 6570
The factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176
The HCF of 6570,7176 is 6.
Lets's calculate GCF of 6570,7176
| 2 | 6570, 7176 |
| 3 | 3285, 3588 |
| 1095, 1196 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6570,7176 By Matching Biggest Common Factor Method
Now, list down the factors of 6570
:1,2,3,5,6,9,10,15,18,30,45,73,90,146,219,365,438,657,730,1095,1314,2190,3285,6570
Now, list down the factors of 7176
:1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 6570,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 6570,7176 is 6.
Lets's calculate LCM of 645,7245
| 3 | 645, 7245 |
| 5 | 215, 2415 |
| 43, 483 |
∴ So the LCM of the given numbers is 3 x 5 x 43 x 483 = 311535
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/311535
Therefore, the GCF of Fractions 6570/645,7176/7245 is 6/311535
Least Common Multiple of 645,7245 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 645,7245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,7245) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(645,7245) x common factors =15 x 1 = 15
LCM(645,7245) = ( 645 × 7245 ) / 15
LCM(645,7245) = 4673025 / 15
LCM(645,7245) = 311535
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6570/645, 7176/7245
1. What is the HCF of 6570,7176?
The HCF of 6570,7176 is 6
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 6570/645, 7176/7245?
Answer: GCF of Numerators as per given numbers 6570/645, 7176/7245 is
GCF of Numerators i.e. for 6570,7176 is 6
LCM of denominators i.e. for 645,7245 is 311535.
Thus, GCF of Fractions is 6/311535.Finally, GCF of Fractions for 6570/645, 7176/7245 is 6/311535.