GCF of 1249/873, 6361/688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1249/873, 6361/688 i.e 1/600624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1249/873, 6361/688.
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 1249/873,6361/688?
Given fractions are 1249/873,6361/688
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 1249/873,6361/688, numerators are 1249,6361
Denominators are 873,688
The GCF of 1249,6361 is 1 .
LCM of 873,688 is 600624.
The greatest common factor of 1249/873,6361/688 = [GCF of 1249,6361]/[LCM of 873,688]= 1/600624
Therefore, the GCF of 1249/873,6361/688 is 1/600624.
To find the highest common factor of 1249,6361, we have to find the factors of both numbers and list the highest common factor.
The factors of 1249 are 1, 1249
The factors of 6361 are 1, 6361
The HCF of 1249,6361 is 1.
Lets's calculate GCF of 1249,6361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1249,6361 By Matching Biggest Common Factor Method
Now, list down the factors of 1249
:1,1249
Now, list down the factors of 6361
:1,6361
Greatest Common Factor
We found the factors 1249,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 1249,6361 is 1.
Lets's calculate LCM of 873,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 600624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600624
Therefore, the GCF of Fractions 1249/873,6361/688 is 1/600624
Least Common Multiple of 873,688 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 873,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,688) x common factors =1 x 1 = 1
LCM(873,688) = ( 873 × 688 ) / 1
LCM(873,688) = 600624 / 1
LCM(873,688) = 600624
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FAQs on GCF of Fractions of 1249/873, 6361/688
1. What is the HCF of 1249,6361?
The HCF of 1249,6361 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 1249/873, 6361/688?
Answer: GCF of Numerators as per given numbers 1249/873, 6361/688 is
GCF of Numerators i.e. for 1249,6361 is 1
LCM of denominators i.e. for 873,688 is 600624.
Thus, GCF of Fractions is 1/600624.Finally, GCF of Fractions for 1249/873, 6361/688 is 1/600624.