GCF of 5689/991, 6768/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5689/991, 6768/175 i.e 1/173425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5689/991, 6768/175.
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 5689/991,6768/175?
Given fractions are 5689/991,6768/175
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 5689/991,6768/175, numerators are 5689,6768
Denominators are 991,175
The GCF of 5689,6768 is 1 .
LCM of 991,175 is 173425.
The greatest common factor of 5689/991,6768/175 = [GCF of 5689,6768]/[LCM of 991,175]= 1/173425
Therefore, the GCF of 5689/991,6768/175 is 1/173425.
To find the highest common factor of 5689,6768, we have to find the factors of both numbers and list the highest common factor.
The factors of 5689 are 1, 5689
The factors of 6768 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768
The HCF of 5689,6768 is 1.
Lets's calculate GCF of 5689,6768
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5689,6768 By Matching Biggest Common Factor Method
Now, list down the factors of 5689
:1,5689
Now, list down the factors of 6768
:1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 5689,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 5689,6768 is 1.
Lets's calculate LCM of 991,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 173425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173425
Therefore, the GCF of Fractions 5689/991,6768/175 is 1/173425
Least Common Multiple of 991,175 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 991,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,175) x common factors =1 x 1 = 1
LCM(991,175) = ( 991 × 175 ) / 1
LCM(991,175) = 173425 / 1
LCM(991,175) = 173425
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FAQs on GCF of Fractions of 5689/991, 6768/175
1. What is the HCF of 5689,6768?
The HCF of 5689,6768 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 5689/991, 6768/175?
Answer: GCF of Numerators as per given numbers 5689/991, 6768/175 is
GCF of Numerators i.e. for 5689,6768 is 1
LCM of denominators i.e. for 991,175 is 173425.
Thus, GCF of Fractions is 1/173425.Finally, GCF of Fractions for 5689/991, 6768/175 is 1/173425.