GCF of 749/68, 688/5045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 749/68, 688/5045 i.e 1/343060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 749/68, 688/5045.
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 749/68,688/5045?
Given fractions are 749/68,688/5045
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 749/68,688/5045, numerators are 749,688
Denominators are 68,5045
The GCF of 749,688 is 1 .
LCM of 68,5045 is 343060.
The greatest common factor of 749/68,688/5045 = [GCF of 749,688]/[LCM of 68,5045]= 1/343060
Therefore, the GCF of 749/68,688/5045 is 1/343060.
To find the highest common factor of 749,688, we have to find the factors of both numbers and list the highest common factor.
The factors of 749 are 1, 7, 107, 749
The factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
The HCF of 749,688 is 1.
Lets's calculate GCF of 749,688
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 749,688 By Matching Biggest Common Factor Method
Now, list down the factors of 749
:1,7,107,749
Now, list down the factors of 688
:1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 749,688 . The biggest common factor number is the GCF number.
So the greatest common factor 749,688 is 1.
Lets's calculate LCM of 68,5045
Given numbers has no common factors except 1. So, there LCM is their product i.e 343060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343060
Therefore, the GCF of Fractions 749/68,688/5045 is 1/343060
Least Common Multiple of 68,5045 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 68,5045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,5045) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,5045) x common factors =1 x 1 = 1
LCM(68,5045) = ( 68 × 5045 ) / 1
LCM(68,5045) = 343060 / 1
LCM(68,5045) = 343060
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FAQs on GCF of Fractions of 749/68, 688/5045
1. What is the HCF of 749,688?
The HCF of 749,688 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 749/68, 688/5045?
Answer: GCF of Numerators as per given numbers 749/68, 688/5045 is
GCF of Numerators i.e. for 749,688 is 1
LCM of denominators i.e. for 68,5045 is 343060.
Thus, GCF of Fractions is 1/343060.Finally, GCF of Fractions for 749/68, 688/5045 is 1/343060.