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 842, 6077, 5429 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 842, 6077, 5429 is 1 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 842, 6077, 5429 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 842, 6077, 5429 is 1.
HCF(842, 6077, 5429) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 842, 6077, 5429 is 1.
Step 1: Since 6077 > 842, we apply the division lemma to 6077 and 842, to get
6077 = 842 x 7 + 183
Step 2: Since the reminder 842 ≠ 0, we apply division lemma to 183 and 842, to get
842 = 183 x 4 + 110
Step 3: We consider the new divisor 183 and the new remainder 110, and apply the division lemma to get
183 = 110 x 1 + 73
We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get
110 = 73 x 1 + 37
We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get
73 = 37 x 1 + 36
We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get
37 = 36 x 1 + 1
We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get
36 = 1 x 36 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 842 and 6077 is 1
Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(183,110) = HCF(842,183) = HCF(6077,842) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5429 > 1, we apply the division lemma to 5429 and 1, to get
5429 = 1 x 5429 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5429 is 1
Notice that 1 = HCF(5429,1) .
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 842, 6077, 5429?
Answer: HCF of 842, 6077, 5429 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 842, 6077, 5429 using Euclid's Algorithm?
Answer: For arbitrary numbers 842, 6077, 5429 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.