GCF of 7747/308, 1770/2525
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7747/308, 1770/2525 i.e 1/777700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7747/308, 1770/2525.
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 7747/308,1770/2525?
Given fractions are 7747/308,1770/2525
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 7747/308,1770/2525, numerators are 7747,1770
Denominators are 308,2525
The GCF of 7747,1770 is 1 .
LCM of 308,2525 is 777700.
The greatest common factor of 7747/308,1770/2525 = [GCF of 7747,1770]/[LCM of 308,2525]= 1/777700
Therefore, the GCF of 7747/308,1770/2525 is 1/777700.
To find the highest common factor of 7747,1770, we have to find the factors of both numbers and list the highest common factor.
The factors of 7747 are 1, 61, 127, 7747
The factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770
The HCF of 7747,1770 is 1.
Lets's calculate GCF of 7747,1770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7747,1770 By Matching Biggest Common Factor Method
Now, list down the factors of 7747
:1,61,127,7747
Now, list down the factors of 1770
:1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770
Greatest Common Factor
We found the factors 7747,1770 . The biggest common factor number is the GCF number.
So the greatest common factor 7747,1770 is 1.
Lets's calculate LCM of 308,2525
Given numbers has no common factors except 1. So, there LCM is their product i.e 777700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/777700
Therefore, the GCF of Fractions 7747/308,1770/2525 is 1/777700
Least Common Multiple of 308,2525 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 308,2525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,2525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,2525) x common factors =1 x 1 = 1
LCM(308,2525) = ( 308 × 2525 ) / 1
LCM(308,2525) = 777700 / 1
LCM(308,2525) = 777700
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FAQs on GCF of Fractions of 7747/308, 1770/2525
1. What is the HCF of 7747,1770?
The HCF of 7747,1770 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 7747/308, 1770/2525?
Answer: GCF of Numerators as per given numbers 7747/308, 1770/2525 is
GCF of Numerators i.e. for 7747,1770 is 1
LCM of denominators i.e. for 308,2525 is 777700.
Thus, GCF of Fractions is 1/777700.Finally, GCF of Fractions for 7747/308, 1770/2525 is 1/777700.