GCF of 7076/800, 8178/910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7076/800, 8178/910 i.e 58/72800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7076/800, 8178/910.
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 7076/800,8178/910?
Given fractions are 7076/800,8178/910
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 7076/800,8178/910, numerators are 7076,8178
Denominators are 800,910
The GCF of 7076,8178 is 58 .
LCM of 800,910 is 72800.
The greatest common factor of 7076/800,8178/910 = [GCF of 7076,8178]/[LCM of 800,910]= 58/72800
Therefore, the GCF of 7076/800,8178/910 is 58/72800.
To find the highest common factor of 7076,8178, we have to find the factors of both numbers and list the highest common factor.
The factors of 7076 are 1, 2, 4, 29, 58, 61, 116, 122, 244, 1769, 3538, 7076
The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The HCF of 7076,8178 is 58.
Lets's calculate GCF of 7076,8178
| 2 | 7076, 8178 |
| 29 | 3538, 4089 |
| 122, 141 |
∴ So the GCF of the given numbers is 2 x 29 = 58
Greatest Common Factor of 7076,8178 By Matching Biggest Common Factor Method
Now, list down the factors of 7076
:1,2,4,29,58,61,116,122,244,1769,3538,7076
Now, list down the factors of 8178
:1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Greatest Common Factor
We found the factors 7076,8178 . The biggest common factor number is the GCF number.
So the greatest common factor 7076,8178 is 58.
Lets's calculate LCM of 800,910
| 2 | 800, 910 |
| 5 | 400, 455 |
| 80, 91 |
∴ So the LCM of the given numbers is 2 x 5 x 80 x 91 = 72800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 58/72800
Therefore, the GCF of Fractions 7076/800,8178/910 is 58/72800
Least Common Multiple of 800,910 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 800,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,910) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(800,910) x common factors =10 x 1 = 10
LCM(800,910) = ( 800 × 910 ) / 10
LCM(800,910) = 728000 / 10
LCM(800,910) = 72800
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FAQs on GCF of Fractions of 7076/800, 8178/910
1. What is the HCF of 7076,8178?
The HCF of 7076,8178 is 58
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 7076/800, 8178/910?
Answer: GCF of Numerators as per given numbers 7076/800, 8178/910 is
GCF of Numerators i.e. for 7076,8178 is 58
LCM of denominators i.e. for 800,910 is 72800.
Thus, GCF of Fractions is 58/72800.Finally, GCF of Fractions for 7076/800, 8178/910 is 58/72800.