GCF of 7224/304, 8501/7497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7224/304, 8501/7497 i.e 1/2279088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7224/304, 8501/7497.
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 7224/304,8501/7497?
Given fractions are 7224/304,8501/7497
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 7224/304,8501/7497, numerators are 7224,8501
Denominators are 304,7497
The GCF of 7224,8501 is 1 .
LCM of 304,7497 is 2279088.
The greatest common factor of 7224/304,8501/7497 = [GCF of 7224,8501]/[LCM of 304,7497]= 1/2279088
Therefore, the GCF of 7224/304,8501/7497 is 1/2279088.
To find the highest common factor of 7224,8501, we have to find the factors of both numbers and list the highest common factor.
The factors of 7224 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 43, 56, 84, 86, 129, 168, 172, 258, 301, 344, 516, 602, 903, 1032, 1204, 1806, 2408, 3612, 7224
The factors of 8501 are 1, 8501
The HCF of 7224,8501 is 1.
Lets's calculate GCF of 7224,8501
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7224,8501 By Matching Biggest Common Factor Method
Now, list down the factors of 7224
:1,2,3,4,6,7,8,12,14,21,24,28,42,43,56,84,86,129,168,172,258,301,344,516,602,903,1032,1204,1806,2408,3612,7224
Now, list down the factors of 8501
:1,8501
Greatest Common Factor
We found the factors 7224,8501 . The biggest common factor number is the GCF number.
So the greatest common factor 7224,8501 is 1.
Lets's calculate LCM of 304,7497
Given numbers has no common factors except 1. So, there LCM is their product i.e 2279088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2279088
Therefore, the GCF of Fractions 7224/304,8501/7497 is 1/2279088
Least Common Multiple of 304,7497 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 304,7497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,7497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,7497) x common factors =1 x 1 = 1
LCM(304,7497) = ( 304 × 7497 ) / 1
LCM(304,7497) = 2279088 / 1
LCM(304,7497) = 2279088
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FAQs on GCF of Fractions of 7224/304, 8501/7497
1. What is the HCF of 7224,8501?
The HCF of 7224,8501 is 1
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 7224/304, 8501/7497?
Answer: GCF of Numerators as per given numbers 7224/304, 8501/7497 is
GCF of Numerators i.e. for 7224,8501 is 1
LCM of denominators i.e. for 304,7497 is 2279088.
Thus, GCF of Fractions is 1/2279088.Finally, GCF of Fractions for 7224/304, 8501/7497 is 1/2279088.