GCF of 8813/991, 2758/1929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8813/991, 2758/1929 i.e 7/1911639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8813/991, 2758/1929.
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 8813/991,2758/1929?
Given fractions are 8813/991,2758/1929
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 8813/991,2758/1929, numerators are 8813,2758
Denominators are 991,1929
The GCF of 8813,2758 is 7 .
LCM of 991,1929 is 1911639.
The greatest common factor of 8813/991,2758/1929 = [GCF of 8813,2758]/[LCM of 991,1929]= 7/1911639
Therefore, the GCF of 8813/991,2758/1929 is 7/1911639.
To find the highest common factor of 8813,2758, we have to find the factors of both numbers and list the highest common factor.
The factors of 8813 are 1, 7, 1259, 8813
The factors of 2758 are 1, 2, 7, 14, 197, 394, 1379, 2758
The HCF of 8813,2758 is 7.
Lets's calculate GCF of 8813,2758
| 7 | 8813, 2758 |
| 1259, 394 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8813,2758 By Matching Biggest Common Factor Method
Now, list down the factors of 8813
:1,7,1259,8813
Now, list down the factors of 2758
:1,2,7,14,197,394,1379,2758
Greatest Common Factor
We found the factors 8813,2758 . The biggest common factor number is the GCF number.
So the greatest common factor 8813,2758 is 7.
Lets's calculate LCM of 991,1929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1911639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1911639
Therefore, the GCF of Fractions 8813/991,2758/1929 is 7/1911639
Least Common Multiple of 991,1929 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 991,1929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,1929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,1929) x common factors =1 x 1 = 1
LCM(991,1929) = ( 991 × 1929 ) / 1
LCM(991,1929) = 1911639 / 1
LCM(991,1929) = 1911639
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FAQs on GCF of Fractions of 8813/991, 2758/1929
1. What is the HCF of 8813,2758?
The HCF of 8813,2758 is 7
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 8813/991, 2758/1929?
Answer: GCF of Numerators as per given numbers 8813/991, 2758/1929 is
GCF of Numerators i.e. for 8813,2758 is 7
LCM of denominators i.e. for 991,1929 is 1911639.
Thus, GCF of Fractions is 7/1911639.Finally, GCF of Fractions for 8813/991, 2758/1929 is 7/1911639.