Highest Common Factor of 706, 600 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 706, 600 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 706, 600 is 2 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 706, 600 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 706, 600 is 2.
HCF(706, 600) = 2
HCF of 706, 600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 706, 600 is 2.
Highest Common Factor of 706,600 is 2
Step 1: Since 706 > 600, we apply the division lemma to 706 and 600, to get
706 = 600 x 1 + 106
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 106 and 600, to get
600 = 106 x 5 + 70
Step 3: We consider the new divisor 106 and the new remainder 70, and apply the division lemma to get
106 = 70 x 1 + 36
We consider the new divisor 70 and the new remainder 36,and apply the division lemma to get
70 = 36 x 1 + 34
We consider the new divisor 36 and the new remainder 34,and apply the division lemma to get
36 = 34 x 1 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 706 and 600 is 2
Notice that 2 = HCF(34,2) = HCF(36,34) = HCF(70,36) = HCF(106,70) = HCF(600,106) = HCF(706,600) .
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Frequently Asked Questions on HCF of 706, 600 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 706, 600?
Answer: HCF of 706, 600 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 706, 600 using Euclid's Algorithm?
Answer: For arbitrary numbers 706, 600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.