Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 2192, 6404 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 2192, 6404 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 2192, 6404 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 2192, 6404 is 4.
HCF(2192, 6404) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2192, 6404 is 4.
Step 1: Since 6404 > 2192, we apply the division lemma to 6404 and 2192, to get
6404 = 2192 x 2 + 2020
Step 2: Since the reminder 2192 ≠ 0, we apply division lemma to 2020 and 2192, to get
2192 = 2020 x 1 + 172
Step 3: We consider the new divisor 2020 and the new remainder 172, and apply the division lemma to get
2020 = 172 x 11 + 128
We consider the new divisor 172 and the new remainder 128,and apply the division lemma to get
172 = 128 x 1 + 44
We consider the new divisor 128 and the new remainder 44,and apply the division lemma to get
128 = 44 x 2 + 40
We consider the new divisor 44 and the new remainder 40,and apply the division lemma to get
44 = 40 x 1 + 4
We consider the new divisor 40 and the new remainder 4,and apply the division lemma to get
40 = 4 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 2192 and 6404 is 4
Notice that 4 = HCF(40,4) = HCF(44,40) = HCF(128,44) = HCF(172,128) = HCF(2020,172) = HCF(2192,2020) = HCF(6404,2192) .
Here are some samples of HCF using Euclid's Algorithm calculations.
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 2192, 6404?
Answer: HCF of 2192, 6404 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2192, 6404 using Euclid's Algorithm?
Answer: For arbitrary numbers 2192, 6404 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.