GCF of 7110/134, 6762/500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7110/134, 6762/500 i.e 6/33500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7110/134, 6762/500.
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 7110/134,6762/500?
Given fractions are 7110/134,6762/500
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 7110/134,6762/500, numerators are 7110,6762
Denominators are 134,500
The GCF of 7110,6762 is 6 .
LCM of 134,500 is 33500.
The greatest common factor of 7110/134,6762/500 = [GCF of 7110,6762]/[LCM of 134,500]= 6/33500
Therefore, the GCF of 7110/134,6762/500 is 6/33500.
To find the highest common factor of 7110,6762, we have to find the factors of both numbers and list the highest common factor.
The factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110
The factors of 6762 are 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 483, 966, 1127, 2254, 3381, 6762
The HCF of 7110,6762 is 6.
Lets's calculate GCF of 7110,6762
| 2 | 7110, 6762 |
| 3 | 3555, 3381 |
| 1185, 1127 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 7110,6762 By Matching Biggest Common Factor Method
Now, list down the factors of 7110
:1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110
Now, list down the factors of 6762
:1,2,3,6,7,14,21,23,42,46,49,69,98,138,147,161,294,322,483,966,1127,2254,3381,6762
Greatest Common Factor
We found the factors 7110,6762 . The biggest common factor number is the GCF number.
So the greatest common factor 7110,6762 is 6.
Lets's calculate LCM of 134,500
| 2 | 134, 500 |
| 67, 250 |
∴ So the LCM of the given numbers is 2 x 67 x 250 = 33500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/33500
Therefore, the GCF of Fractions 7110/134,6762/500 is 6/33500
Least Common Multiple of 134,500 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 134,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,500) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(134,500) x common factors =2 x 1 = 2
LCM(134,500) = ( 134 × 500 ) / 2
LCM(134,500) = 67000 / 2
LCM(134,500) = 33500
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FAQs on GCF of Fractions of 7110/134, 6762/500
1. What is the HCF of 7110,6762?
The HCF of 7110,6762 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 7110/134, 6762/500?
Answer: GCF of Numerators as per given numbers 7110/134, 6762/500 is
GCF of Numerators i.e. for 7110,6762 is 6
LCM of denominators i.e. for 134,500 is 33500.
Thus, GCF of Fractions is 6/33500.Finally, GCF of Fractions for 7110/134, 6762/500 is 6/33500.