GCF of 1692/564, 9440/955
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1692/564, 9440/955 i.e 4/538620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1692/564, 9440/955.
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 1692/564,9440/955?
Given fractions are 1692/564,9440/955
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 1692/564,9440/955, numerators are 1692,9440
Denominators are 564,955
The GCF of 1692,9440 is 4 .
LCM of 564,955 is 538620.
The greatest common factor of 1692/564,9440/955 = [GCF of 1692,9440]/[LCM of 564,955]= 4/538620
Therefore, the GCF of 1692/564,9440/955 is 4/538620.
To find the highest common factor of 1692,9440, we have to find the factors of both numbers and list the highest common factor.
The factors of 1692 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 47, 94, 141, 188, 282, 423, 564, 846, 1692
The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440
The HCF of 1692,9440 is 4.
Lets's calculate GCF of 1692,9440
| 2 | 1692, 9440 |
| 2 | 846, 4720 |
| 423, 2360 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1692,9440 By Matching Biggest Common Factor Method
Now, list down the factors of 1692
:1,2,3,4,6,9,12,18,36,47,94,141,188,282,423,564,846,1692
Now, list down the factors of 9440
:1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440
Greatest Common Factor
We found the factors 1692,9440 . The biggest common factor number is the GCF number.
So the greatest common factor 1692,9440 is 4.
Lets's calculate LCM of 564,955
Given numbers has no common factors except 1. So, there LCM is their product i.e 538620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/538620
Therefore, the GCF of Fractions 1692/564,9440/955 is 4/538620
Least Common Multiple of 564,955 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 564,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,955) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(564,955) x common factors =1 x 1 = 1
LCM(564,955) = ( 564 × 955 ) / 1
LCM(564,955) = 538620 / 1
LCM(564,955) = 538620
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FAQs on GCF of Fractions of 1692/564, 9440/955
1. What is the HCF of 1692,9440?
The HCF of 1692,9440 is 4
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 1692/564, 9440/955?
Answer: GCF of Numerators as per given numbers 1692/564, 9440/955 is
GCF of Numerators i.e. for 1692,9440 is 4
LCM of denominators i.e. for 564,955 is 538620.
Thus, GCF of Fractions is 4/538620.Finally, GCF of Fractions for 1692/564, 9440/955 is 4/538620.