GCF of 1775/634, 1869/8077
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1775/634, 1869/8077 i.e 1/5120818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1775/634, 1869/8077.
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 1775/634,1869/8077?
Given fractions are 1775/634,1869/8077
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 1775/634,1869/8077, numerators are 1775,1869
Denominators are 634,8077
The GCF of 1775,1869 is 1 .
LCM of 634,8077 is 5120818.
The greatest common factor of 1775/634,1869/8077 = [GCF of 1775,1869]/[LCM of 634,8077]= 1/5120818
Therefore, the GCF of 1775/634,1869/8077 is 1/5120818.
To find the highest common factor of 1775,1869, we have to find the factors of both numbers and list the highest common factor.
The factors of 1775 are 1, 5, 25, 71, 355, 1775
The factors of 1869 are 1, 3, 7, 21, 89, 267, 623, 1869
The HCF of 1775,1869 is 1.
Lets's calculate GCF of 1775,1869
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1775,1869 By Matching Biggest Common Factor Method
Now, list down the factors of 1775
:1,5,25,71,355,1775
Now, list down the factors of 1869
:1,3,7,21,89,267,623,1869
Greatest Common Factor
We found the factors 1775,1869 . The biggest common factor number is the GCF number.
So the greatest common factor 1775,1869 is 1.
Lets's calculate LCM of 634,8077
Given numbers has no common factors except 1. So, there LCM is their product i.e 5120818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5120818
Therefore, the GCF of Fractions 1775/634,1869/8077 is 1/5120818
Least Common Multiple of 634,8077 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 634,8077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,8077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,8077) x common factors =1 x 1 = 1
LCM(634,8077) = ( 634 × 8077 ) / 1
LCM(634,8077) = 5120818 / 1
LCM(634,8077) = 5120818
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FAQs on GCF of Fractions of 1775/634, 1869/8077
1. What is the HCF of 1775,1869?
The HCF of 1775,1869 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 1775/634, 1869/8077?
Answer: GCF of Numerators as per given numbers 1775/634, 1869/8077 is
GCF of Numerators i.e. for 1775,1869 is 1
LCM of denominators i.e. for 634,8077 is 5120818.
Thus, GCF of Fractions is 1/5120818.Finally, GCF of Fractions for 1775/634, 1869/8077 is 1/5120818.