GCF of 6635/235, 7072/9594
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6635/235, 7072/9594 i.e 1/2254590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6635/235, 7072/9594.
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 6635/235,7072/9594?
Given fractions are 6635/235,7072/9594
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 6635/235,7072/9594, numerators are 6635,7072
Denominators are 235,9594
The GCF of 6635,7072 is 1 .
LCM of 235,9594 is 2254590.
The greatest common factor of 6635/235,7072/9594 = [GCF of 6635,7072]/[LCM of 235,9594]= 1/2254590
Therefore, the GCF of 6635/235,7072/9594 is 1/2254590.
To find the highest common factor of 6635,7072, we have to find the factors of both numbers and list the highest common factor.
The factors of 6635 are 1, 5, 1327, 6635
The factors of 7072 are 1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 68, 104, 136, 208, 221, 272, 416, 442, 544, 884, 1768, 3536, 7072
The HCF of 6635,7072 is 1.
Lets's calculate GCF of 6635,7072
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6635,7072 By Matching Biggest Common Factor Method
Now, list down the factors of 6635
:1,5,1327,6635
Now, list down the factors of 7072
:1,2,4,8,13,16,17,26,32,34,52,68,104,136,208,221,272,416,442,544,884,1768,3536,7072
Greatest Common Factor
We found the factors 6635,7072 . The biggest common factor number is the GCF number.
So the greatest common factor 6635,7072 is 1.
Lets's calculate LCM of 235,9594
Given numbers has no common factors except 1. So, there LCM is their product i.e 2254590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2254590
Therefore, the GCF of Fractions 6635/235,7072/9594 is 1/2254590
Least Common Multiple of 235,9594 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 235,9594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,9594) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,9594) x common factors =1 x 1 = 1
LCM(235,9594) = ( 235 × 9594 ) / 1
LCM(235,9594) = 2254590 / 1
LCM(235,9594) = 2254590
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FAQs on GCF of Fractions of 6635/235, 7072/9594
1. What is the HCF of 6635,7072?
The HCF of 6635,7072 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 6635/235, 7072/9594?
Answer: GCF of Numerators as per given numbers 6635/235, 7072/9594 is
GCF of Numerators i.e. for 6635,7072 is 1
LCM of denominators i.e. for 235,9594 is 2254590.
Thus, GCF of Fractions is 1/2254590.Finally, GCF of Fractions for 6635/235, 7072/9594 is 1/2254590.