GCF of 7771/561, 2660/8102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7771/561, 2660/8102 i.e 19/4545222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7771/561, 2660/8102.
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 7771/561,2660/8102?
Given fractions are 7771/561,2660/8102
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 7771/561,2660/8102, numerators are 7771,2660
Denominators are 561,8102
The GCF of 7771,2660 is 19 .
LCM of 561,8102 is 4545222.
The greatest common factor of 7771/561,2660/8102 = [GCF of 7771,2660]/[LCM of 561,8102]= 19/4545222
Therefore, the GCF of 7771/561,2660/8102 is 19/4545222.
To find the highest common factor of 7771,2660, we have to find the factors of both numbers and list the highest common factor.
The factors of 7771 are 1, 19, 409, 7771
The factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660
The HCF of 7771,2660 is 19.
Lets's calculate GCF of 7771,2660
| 19 | 7771, 2660 |
| 409, 140 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 7771,2660 By Matching Biggest Common Factor Method
Now, list down the factors of 7771
:1,19,409,7771
Now, list down the factors of 2660
:1,2,4,5,7,10,14,19,20,28,35,38,70,76,95,133,140,190,266,380,532,665,1330,2660
Greatest Common Factor
We found the factors 7771,2660 . The biggest common factor number is the GCF number.
So the greatest common factor 7771,2660 is 19.
Lets's calculate LCM of 561,8102
Given numbers has no common factors except 1. So, there LCM is their product i.e 4545222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4545222
Therefore, the GCF of Fractions 7771/561,2660/8102 is 19/4545222
Least Common Multiple of 561,8102 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 561,8102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,8102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,8102) x common factors =1 x 1 = 1
LCM(561,8102) = ( 561 × 8102 ) / 1
LCM(561,8102) = 4545222 / 1
LCM(561,8102) = 4545222
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FAQs on GCF of Fractions of 7771/561, 2660/8102
1. What is the HCF of 7771,2660?
The HCF of 7771,2660 is 19
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 7771/561, 2660/8102?
Answer: GCF of Numerators as per given numbers 7771/561, 2660/8102 is
GCF of Numerators i.e. for 7771,2660 is 19
LCM of denominators i.e. for 561,8102 is 4545222.
Thus, GCF of Fractions is 19/4545222.Finally, GCF of Fractions for 7771/561, 2660/8102 is 19/4545222.