Highest Common Factor of 679, 442 using Euclid's algorithm
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 679, 442 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 679, 442 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 679, 442 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 679, 442 is 1.
HCF(679, 442) = 1
HCF of 679, 442 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 679, 442 is 1.
Highest Common Factor of 679,442 is 1
Step 1: Since 679 > 442, we apply the division lemma to 679 and 442, to get
679 = 442 x 1 + 237
Step 2: Since the reminder 442 ≠ 0, we apply division lemma to 237 and 442, to get
442 = 237 x 1 + 205
Step 3: We consider the new divisor 237 and the new remainder 205, and apply the division lemma to get
237 = 205 x 1 + 32
We consider the new divisor 205 and the new remainder 32,and apply the division lemma to get
205 = 32 x 6 + 13
We consider the new divisor 32 and the new remainder 13,and apply the division lemma to get
32 = 13 x 2 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 679 and 442 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(32,13) = HCF(205,32) = HCF(237,205) = HCF(442,237) = HCF(679,442) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 679, 442 using Euclid's Algorithm
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 679, 442?
Answer: HCF of 679, 442 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 679, 442 using Euclid's Algorithm?
Answer: For arbitrary numbers 679, 442 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.