GCF of 7561/985, 2816/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7561/985, 2816/123 i.e 1/121155 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7561/985, 2816/123.
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 7561/985,2816/123?
Given fractions are 7561/985,2816/123
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 7561/985,2816/123, numerators are 7561,2816
Denominators are 985,123
The GCF of 7561,2816 is 1 .
LCM of 985,123 is 121155.
The greatest common factor of 7561/985,2816/123 = [GCF of 7561,2816]/[LCM of 985,123]= 1/121155
Therefore, the GCF of 7561/985,2816/123 is 1/121155.
To find the highest common factor of 7561,2816, we have to find the factors of both numbers and list the highest common factor.
The factors of 7561 are 1, 7561
The factors of 2816 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 704, 1408, 2816
The HCF of 7561,2816 is 1.
Lets's calculate GCF of 7561,2816
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7561,2816 By Matching Biggest Common Factor Method
Now, list down the factors of 7561
:1,7561
Now, list down the factors of 2816
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,704,1408,2816
Greatest Common Factor
We found the factors 7561,2816 . The biggest common factor number is the GCF number.
So the greatest common factor 7561,2816 is 1.
Lets's calculate LCM of 985,123
Given numbers has no common factors except 1. So, there LCM is their product i.e 121155
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121155
Therefore, the GCF of Fractions 7561/985,2816/123 is 1/121155
Least Common Multiple of 985,123 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 985,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,123) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,123) x common factors =1 x 1 = 1
LCM(985,123) = ( 985 × 123 ) / 1
LCM(985,123) = 121155 / 1
LCM(985,123) = 121155
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FAQs on GCF of Fractions of 7561/985, 2816/123
1. What is the HCF of 7561,2816?
The HCF of 7561,2816 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 7561/985, 2816/123?
Answer: GCF of Numerators as per given numbers 7561/985, 2816/123 is
GCF of Numerators i.e. for 7561,2816 is 1
LCM of denominators i.e. for 985,123 is 121155.
Thus, GCF of Fractions is 1/121155.Finally, GCF of Fractions for 7561/985, 2816/123 is 1/121155.