GCF of 9072/375, 7098/8228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9072/375, 7098/8228 i.e 42/3085500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9072/375, 7098/8228.
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 9072/375,7098/8228?
Given fractions are 9072/375,7098/8228
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 9072/375,7098/8228, numerators are 9072,7098
Denominators are 375,8228
The GCF of 9072,7098 is 42 .
LCM of 375,8228 is 3085500.
The greatest common factor of 9072/375,7098/8228 = [GCF of 9072,7098]/[LCM of 375,8228]= 42/3085500
Therefore, the GCF of 9072/375,7098/8228 is 42/3085500.
To find the highest common factor of 9072,7098, we have to find the factors of both numbers and list the highest common factor.
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072
The factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098
The HCF of 9072,7098 is 42.
Lets's calculate GCF of 9072,7098
| 2 | 9072, 7098 |
| 3 | 4536, 3549 |
| 7 | 1512, 1183 |
| 216, 169 |
∴ So the GCF of the given numbers is 2 x 3 x 7 = 42
Greatest Common Factor of 9072,7098 By Matching Biggest Common Factor Method
Now, list down the factors of 9072
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Now, list down the factors of 7098
:1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098
Greatest Common Factor
We found the factors 9072,7098 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,7098 is 42.
Lets's calculate LCM of 375,8228
Given numbers has no common factors except 1. So, there LCM is their product i.e 3085500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/3085500
Therefore, the GCF of Fractions 9072/375,7098/8228 is 42/3085500
Least Common Multiple of 375,8228 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 375,8228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,8228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,8228) x common factors =1 x 1 = 1
LCM(375,8228) = ( 375 × 8228 ) / 1
LCM(375,8228) = 3085500 / 1
LCM(375,8228) = 3085500
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FAQs on GCF of Fractions of 9072/375, 7098/8228
1. What is the HCF of 9072,7098?
The HCF of 9072,7098 is 42
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 9072/375, 7098/8228?
Answer: GCF of Numerators as per given numbers 9072/375, 7098/8228 is
GCF of Numerators i.e. for 9072,7098 is 42
LCM of denominators i.e. for 375,8228 is 3085500.
Thus, GCF of Fractions is 42/3085500.Finally, GCF of Fractions for 9072/375, 7098/8228 is 42/3085500.