GCF of 567/910, 3780/177
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 567/910, 3780/177 i.e 189/161070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 567/910, 3780/177.
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 567/910,3780/177?
Given fractions are 567/910,3780/177
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 567/910,3780/177, numerators are 567,3780
Denominators are 910,177
The GCF of 567,3780 is 189 .
LCM of 910,177 is 161070.
The greatest common factor of 567/910,3780/177 = [GCF of 567,3780]/[LCM of 910,177]= 189/161070
Therefore, the GCF of 567/910,3780/177 is 189/161070.
To find the highest common factor of 567,3780, we have to find the factors of both numbers and list the highest common factor.
The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
The factors of 3780 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 84, 90, 105, 108, 126, 135, 140, 180, 189, 210, 252, 270, 315, 378, 420, 540, 630, 756, 945, 1260, 1890, 3780
The HCF of 567,3780 is 189.
Lets's calculate GCF of 567,3780
| 3 | 567, 3780 |
| 3 | 189, 1260 |
| 3 | 63, 420 |
| 7 | 21, 140 |
| 3, 20 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 7 = 189
Greatest Common Factor of 567,3780 By Matching Biggest Common Factor Method
Now, list down the factors of 567
:1,3,7,9,21,27,63,81,189,567
Now, list down the factors of 3780
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,27,28,30,35,36,42,45,54,60,63,70,84,90,105,108,126,135,140,180,189,210,252,270,315,378,420,540,630,756,945,1260,1890,3780
Greatest Common Factor
We found the factors 567,3780 . The biggest common factor number is the GCF number.
So the greatest common factor 567,3780 is 189.
Lets's calculate LCM of 910,177
Given numbers has no common factors except 1. So, there LCM is their product i.e 161070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 189/161070
Therefore, the GCF of Fractions 567/910,3780/177 is 189/161070
Least Common Multiple of 910,177 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 910,177 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,177) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,177) x common factors =1 x 1 = 1
LCM(910,177) = ( 910 × 177 ) / 1
LCM(910,177) = 161070 / 1
LCM(910,177) = 161070
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FAQs on GCF of Fractions of 567/910, 3780/177
1. What is the HCF of 567,3780?
The HCF of 567,3780 is 189
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 567/910, 3780/177?
Answer: GCF of Numerators as per given numbers 567/910, 3780/177 is
GCF of Numerators i.e. for 567,3780 is 189
LCM of denominators i.e. for 910,177 is 161070.
Thus, GCF of Fractions is 189/161070.Finally, GCF of Fractions for 567/910, 3780/177 is 189/161070.