GCF of 9070/508, 6528/7175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9070/508, 6528/7175 i.e 2/3644900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9070/508, 6528/7175.
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 9070/508,6528/7175?
Given fractions are 9070/508,6528/7175
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 9070/508,6528/7175, numerators are 9070,6528
Denominators are 508,7175
The GCF of 9070,6528 is 2 .
LCM of 508,7175 is 3644900.
The greatest common factor of 9070/508,6528/7175 = [GCF of 9070,6528]/[LCM of 508,7175]= 2/3644900
Therefore, the GCF of 9070/508,6528/7175 is 2/3644900.
To find the highest common factor of 9070,6528, we have to find the factors of both numbers and list the highest common factor.
The factors of 9070 are 1, 2, 5, 10, 907, 1814, 4535, 9070
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The HCF of 9070,6528 is 2.
Lets's calculate GCF of 9070,6528
| 2 | 9070, 6528 |
| 4535, 3264 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9070,6528 By Matching Biggest Common Factor Method
Now, list down the factors of 9070
:1,2,5,10,907,1814,4535,9070
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors 9070,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 9070,6528 is 2.
Lets's calculate LCM of 508,7175
Given numbers has no common factors except 1. So, there LCM is their product i.e 3644900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3644900
Therefore, the GCF of Fractions 9070/508,6528/7175 is 2/3644900
Least Common Multiple of 508,7175 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 508,7175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,7175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,7175) x common factors =1 x 1 = 1
LCM(508,7175) = ( 508 × 7175 ) / 1
LCM(508,7175) = 3644900 / 1
LCM(508,7175) = 3644900
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FAQs on GCF of Fractions of 9070/508, 6528/7175
1. What is the HCF of 9070,6528?
The HCF of 9070,6528 is 2
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 9070/508, 6528/7175?
Answer: GCF of Numerators as per given numbers 9070/508, 6528/7175 is
GCF of Numerators i.e. for 9070,6528 is 2
LCM of denominators i.e. for 508,7175 is 3644900.
Thus, GCF of Fractions is 2/3644900.Finally, GCF of Fractions for 9070/508, 6528/7175 is 2/3644900.