GCF of 1085/555, 1022/6998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1085/555, 1022/6998 i.e 7/3883890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1085/555, 1022/6998.
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 1085/555,1022/6998?
Given fractions are 1085/555,1022/6998
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 1085/555,1022/6998, numerators are 1085,1022
Denominators are 555,6998
The GCF of 1085,1022 is 7 .
LCM of 555,6998 is 3883890.
The greatest common factor of 1085/555,1022/6998 = [GCF of 1085,1022]/[LCM of 555,6998]= 7/3883890
Therefore, the GCF of 1085/555,1022/6998 is 7/3883890.
To find the highest common factor of 1085,1022, we have to find the factors of both numbers and list the highest common factor.
The factors of 1085 are 1, 5, 7, 31, 35, 155, 217, 1085
The factors of 1022 are 1, 2, 7, 14, 73, 146, 511, 1022
The HCF of 1085,1022 is 7.
Lets's calculate GCF of 1085,1022
| 7 | 1085, 1022 |
| 155, 146 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1085,1022 By Matching Biggest Common Factor Method
Now, list down the factors of 1085
:1,5,7,31,35,155,217,1085
Now, list down the factors of 1022
:1,2,7,14,73,146,511,1022
Greatest Common Factor
We found the factors 1085,1022 . The biggest common factor number is the GCF number.
So the greatest common factor 1085,1022 is 7.
Lets's calculate LCM of 555,6998
Given numbers has no common factors except 1. So, there LCM is their product i.e 3883890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3883890
Therefore, the GCF of Fractions 1085/555,1022/6998 is 7/3883890
Least Common Multiple of 555,6998 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 555,6998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,6998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(555,6998) x common factors =1 x 1 = 1
LCM(555,6998) = ( 555 × 6998 ) / 1
LCM(555,6998) = 3883890 / 1
LCM(555,6998) = 3883890
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FAQs on GCF of Fractions of 1085/555, 1022/6998
1. What is the HCF of 1085,1022?
The HCF of 1085,1022 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 1085/555, 1022/6998?
Answer: GCF of Numerators as per given numbers 1085/555, 1022/6998 is
GCF of Numerators i.e. for 1085,1022 is 7
LCM of denominators i.e. for 555,6998 is 3883890.
Thus, GCF of Fractions is 7/3883890.Finally, GCF of Fractions for 1085/555, 1022/6998 is 7/3883890.