GCF of 4088/986, 9770/8878
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4088/986, 9770/8878 i.e 2/4376854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4088/986, 9770/8878.
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 4088/986,9770/8878?
Given fractions are 4088/986,9770/8878
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 4088/986,9770/8878, numerators are 4088,9770
Denominators are 986,8878
The GCF of 4088,9770 is 2 .
LCM of 986,8878 is 4376854.
The greatest common factor of 4088/986,9770/8878 = [GCF of 4088,9770]/[LCM of 986,8878]= 2/4376854
Therefore, the GCF of 4088/986,9770/8878 is 2/4376854.
To find the highest common factor of 4088,9770, we have to find the factors of both numbers and list the highest common factor.
The factors of 4088 are 1, 2, 4, 7, 8, 14, 28, 56, 73, 146, 292, 511, 584, 1022, 2044, 4088
The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770
The HCF of 4088,9770 is 2.
Lets's calculate GCF of 4088,9770
| 2 | 4088, 9770 |
| 2044, 4885 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4088,9770 By Matching Biggest Common Factor Method
Now, list down the factors of 4088
:1,2,4,7,8,14,28,56,73,146,292,511,584,1022,2044,4088
Now, list down the factors of 9770
:1,2,5,10,977,1954,4885,9770
Greatest Common Factor
We found the factors 4088,9770 . The biggest common factor number is the GCF number.
So the greatest common factor 4088,9770 is 2.
Lets's calculate LCM of 986,8878
| 2 | 986, 8878 |
| 493, 4439 |
∴ So the LCM of the given numbers is 2 x 493 x 4439 = 4376854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4376854
Therefore, the GCF of Fractions 4088/986,9770/8878 is 2/4376854
Least Common Multiple of 986,8878 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 986,8878 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8878) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8878) x common factors =2 x 1 = 2
LCM(986,8878) = ( 986 × 8878 ) / 2
LCM(986,8878) = 8753708 / 2
LCM(986,8878) = 4376854
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FAQs on GCF of Fractions of 4088/986, 9770/8878
1. What is the HCF of 4088,9770?
The HCF of 4088,9770 is 2
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 4088/986, 9770/8878?
Answer: GCF of Numerators as per given numbers 4088/986, 9770/8878 is
GCF of Numerators i.e. for 4088,9770 is 2
LCM of denominators i.e. for 986,8878 is 4376854.
Thus, GCF of Fractions is 2/4376854.Finally, GCF of Fractions for 4088/986, 9770/8878 is 2/4376854.