GCF of 1943/869, 6208/752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1943/869, 6208/752 i.e 1/653488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1943/869, 6208/752.
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 1943/869,6208/752?
Given fractions are 1943/869,6208/752
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 1943/869,6208/752, numerators are 1943,6208
Denominators are 869,752
The GCF of 1943,6208 is 1 .
LCM of 869,752 is 653488.
The greatest common factor of 1943/869,6208/752 = [GCF of 1943,6208]/[LCM of 869,752]= 1/653488
Therefore, the GCF of 1943/869,6208/752 is 1/653488.
To find the highest common factor of 1943,6208, we have to find the factors of both numbers and list the highest common factor.
The factors of 1943 are 1, 29, 67, 1943
The factors of 6208 are 1, 2, 4, 8, 16, 32, 64, 97, 194, 388, 776, 1552, 3104, 6208
The HCF of 1943,6208 is 1.
Lets's calculate GCF of 1943,6208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1943,6208 By Matching Biggest Common Factor Method
Now, list down the factors of 1943
:1,29,67,1943
Now, list down the factors of 6208
:1,2,4,8,16,32,64,97,194,388,776,1552,3104,6208
Greatest Common Factor
We found the factors 1943,6208 . The biggest common factor number is the GCF number.
So the greatest common factor 1943,6208 is 1.
Lets's calculate LCM of 869,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 653488
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653488
Therefore, the GCF of Fractions 1943/869,6208/752 is 1/653488
Least Common Multiple of 869,752 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 869,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,752) x common factors =1 x 1 = 1
LCM(869,752) = ( 869 × 752 ) / 1
LCM(869,752) = 653488 / 1
LCM(869,752) = 653488
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FAQs on GCF of Fractions of 1943/869, 6208/752
1. What is the HCF of 1943,6208?
The HCF of 1943,6208 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 1943/869, 6208/752?
Answer: GCF of Numerators as per given numbers 1943/869, 6208/752 is
GCF of Numerators i.e. for 1943,6208 is 1
LCM of denominators i.e. for 869,752 is 653488.
Thus, GCF of Fractions is 1/653488.Finally, GCF of Fractions for 1943/869, 6208/752 is 1/653488.