GCF of 6650/692, 9100/501
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6650/692, 9100/501 i.e 350/346692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6650/692, 9100/501.
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 6650/692,9100/501?
Given fractions are 6650/692,9100/501
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 6650/692,9100/501, numerators are 6650,9100
Denominators are 692,501
The GCF of 6650,9100 is 350 .
LCM of 692,501 is 346692.
The greatest common factor of 6650/692,9100/501 = [GCF of 6650,9100]/[LCM of 692,501]= 350/346692
Therefore, the GCF of 6650/692,9100/501 is 350/346692.
To find the highest common factor of 6650,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 6650 are 1, 2, 5, 7, 10, 14, 19, 25, 35, 38, 50, 70, 95, 133, 175, 190, 266, 350, 475, 665, 950, 1330, 3325, 6650
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 6650,9100 is 350.
Lets's calculate GCF of 6650,9100
| 2 | 6650, 9100 |
| 5 | 3325, 4550 |
| 5 | 665, 910 |
| 7 | 133, 182 |
| 19, 26 |
∴ So the GCF of the given numbers is 2 x 5 x 5 x 7 = 350
Greatest Common Factor of 6650,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 6650
:1,2,5,7,10,14,19,25,35,38,50,70,95,133,175,190,266,350,475,665,950,1330,3325,6650
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 6650,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 6650,9100 is 350.
Lets's calculate LCM of 692,501
Given numbers has no common factors except 1. So, there LCM is their product i.e 346692
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 350/346692
Therefore, the GCF of Fractions 6650/692,9100/501 is 350/346692
Least Common Multiple of 692,501 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 692,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,501) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(692,501) x common factors =1 x 1 = 1
LCM(692,501) = ( 692 × 501 ) / 1
LCM(692,501) = 346692 / 1
LCM(692,501) = 346692
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FAQs on GCF of Fractions of 6650/692, 9100/501
1. What is the HCF of 6650,9100?
The HCF of 6650,9100 is 350
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 6650/692, 9100/501?
Answer: GCF of Numerators as per given numbers 6650/692, 9100/501 is
GCF of Numerators i.e. for 6650,9100 is 350
LCM of denominators i.e. for 692,501 is 346692.
Thus, GCF of Fractions is 350/346692.Finally, GCF of Fractions for 6650/692, 9100/501 is 350/346692.