GCF of 2176/508, 7718/8200
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2176/508, 7718/8200 i.e 34/1041400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2176/508, 7718/8200.
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 2176/508,7718/8200?
Given fractions are 2176/508,7718/8200
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 2176/508,7718/8200, numerators are 2176,7718
Denominators are 508,8200
The GCF of 2176,7718 is 34 .
LCM of 508,8200 is 1041400.
The greatest common factor of 2176/508,7718/8200 = [GCF of 2176,7718]/[LCM of 508,8200]= 34/1041400
Therefore, the GCF of 2176/508,7718/8200 is 34/1041400.
To find the highest common factor of 2176,7718, we have to find the factors of both numbers and list the highest common factor.
The factors of 2176 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 272, 544, 1088, 2176
The factors of 7718 are 1, 2, 17, 34, 227, 454, 3859, 7718
The HCF of 2176,7718 is 34.
Lets's calculate GCF of 2176,7718
| 2 | 2176, 7718 |
| 17 | 1088, 3859 |
| 64, 227 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Greatest Common Factor of 2176,7718 By Matching Biggest Common Factor Method
Now, list down the factors of 2176
:1,2,4,8,16,17,32,34,64,68,128,136,272,544,1088,2176
Now, list down the factors of 7718
:1,2,17,34,227,454,3859,7718
Greatest Common Factor
We found the factors 2176,7718 . The biggest common factor number is the GCF number.
So the greatest common factor 2176,7718 is 34.
Lets's calculate LCM of 508,8200
| 2 | 508, 8200 |
| 2 | 254, 4100 |
| 127, 2050 |
∴ So the LCM of the given numbers is 2 x 2 x 127 x 2050 = 1041400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/1041400
Therefore, the GCF of Fractions 2176/508,7718/8200 is 34/1041400
Least Common Multiple of 508,8200 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 508,8200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,8200) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(508,8200) x common factors =4 x 1 = 4
LCM(508,8200) = ( 508 × 8200 ) / 4
LCM(508,8200) = 4165600 / 4
LCM(508,8200) = 1041400
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FAQs on GCF of Fractions of 2176/508, 7718/8200
1. What is the HCF of 2176,7718?
The HCF of 2176,7718 is 34
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 2176/508, 7718/8200?
Answer: GCF of Numerators as per given numbers 2176/508, 7718/8200 is
GCF of Numerators i.e. for 2176,7718 is 34
LCM of denominators i.e. for 508,8200 is 1041400.
Thus, GCF of Fractions is 34/1041400.Finally, GCF of Fractions for 2176/508, 7718/8200 is 34/1041400.