GCF of 1779/921, 4274/985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1779/921, 4274/985 i.e 1/907185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1779/921, 4274/985.
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 1779/921,4274/985?
Given fractions are 1779/921,4274/985
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 1779/921,4274/985, numerators are 1779,4274
Denominators are 921,985
The GCF of 1779,4274 is 1 .
LCM of 921,985 is 907185.
The greatest common factor of 1779/921,4274/985 = [GCF of 1779,4274]/[LCM of 921,985]= 1/907185
Therefore, the GCF of 1779/921,4274/985 is 1/907185.
To find the highest common factor of 1779,4274, we have to find the factors of both numbers and list the highest common factor.
The factors of 1779 are 1, 3, 593, 1779
The factors of 4274 are 1, 2, 2137, 4274
The HCF of 1779,4274 is 1.
Lets's calculate GCF of 1779,4274
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1779,4274 By Matching Biggest Common Factor Method
Now, list down the factors of 1779
:1,3,593,1779
Now, list down the factors of 4274
:1,2,2137,4274
Greatest Common Factor
We found the factors 1779,4274 . The biggest common factor number is the GCF number.
So the greatest common factor 1779,4274 is 1.
Lets's calculate LCM of 921,985
Given numbers has no common factors except 1. So, there LCM is their product i.e 907185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/907185
Therefore, the GCF of Fractions 1779/921,4274/985 is 1/907185
Least Common Multiple of 921,985 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 921,985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,985) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,985) x common factors =1 x 1 = 1
LCM(921,985) = ( 921 × 985 ) / 1
LCM(921,985) = 907185 / 1
LCM(921,985) = 907185
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1779/921, 4274/985
1. What is the HCF of 1779,4274?
The HCF of 1779,4274 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 1779/921, 4274/985?
Answer: GCF of Numerators as per given numbers 1779/921, 4274/985 is
GCF of Numerators i.e. for 1779,4274 is 1
LCM of denominators i.e. for 921,985 is 907185.
Thus, GCF of Fractions is 1/907185.Finally, GCF of Fractions for 1779/921, 4274/985 is 1/907185.