Highest Common Factor of 689, 956, 602 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 689, 956, 602 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 689, 956, 602 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 689, 956, 602 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 689, 956, 602 is 1.
HCF(689, 956, 602) = 1
HCF of 689, 956, 602 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 689, 956, 602 is 1.
Highest Common Factor of 689,956,602 is 1
Step 1: Since 956 > 689, we apply the division lemma to 956 and 689, to get
956 = 689 x 1 + 267
Step 2: Since the reminder 689 ≠ 0, we apply division lemma to 267 and 689, to get
689 = 267 x 2 + 155
Step 3: We consider the new divisor 267 and the new remainder 155, and apply the division lemma to get
267 = 155 x 1 + 112
We consider the new divisor 155 and the new remainder 112,and apply the division lemma to get
155 = 112 x 1 + 43
We consider the new divisor 112 and the new remainder 43,and apply the division lemma to get
112 = 43 x 2 + 26
We consider the new divisor 43 and the new remainder 26,and apply the division lemma to get
43 = 26 x 1 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 689 and 956 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(43,26) = HCF(112,43) = HCF(155,112) = HCF(267,155) = HCF(689,267) = HCF(956,689) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 602 > 1, we apply the division lemma to 602 and 1, to get
602 = 1 x 602 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 602 is 1
Notice that 1 = HCF(602,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 689, 956, 602 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 689, 956, 602?
Answer: HCF of 689, 956, 602 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 689, 956, 602 using Euclid's Algorithm?
Answer: For arbitrary numbers 689, 956, 602 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.