Highest Common Factor of 423, 981, 695, 35 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 423, 981, 695, 35 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 423, 981, 695, 35 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 423, 981, 695, 35 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 423, 981, 695, 35 is 1.
HCF(423, 981, 695, 35) = 1
HCF of 423, 981, 695, 35 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 423, 981, 695, 35 is 1.
Highest Common Factor of 423,981,695,35 is 1
Step 1: Since 981 > 423, we apply the division lemma to 981 and 423, to get
981 = 423 x 2 + 135
Step 2: Since the reminder 423 ≠ 0, we apply division lemma to 135 and 423, to get
423 = 135 x 3 + 18
Step 3: We consider the new divisor 135 and the new remainder 18, and apply the division lemma to get
135 = 18 x 7 + 9
We consider the new divisor 18 and the new remainder 9, and apply the division lemma to get
18 = 9 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 423 and 981 is 9
Notice that 9 = HCF(18,9) = HCF(135,18) = HCF(423,135) = HCF(981,423) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 695 > 9, we apply the division lemma to 695 and 9, to get
695 = 9 x 77 + 2
Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 2 and 9, to get
9 = 2 x 4 + 1
Step 3: We consider the new divisor 2 and the new remainder 1, and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9 and 695 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(695,9) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 35 > 1, we apply the division lemma to 35 and 1, to get
35 = 1 x 35 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35 is 1
Notice that 1 = HCF(35,1) .
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Frequently Asked Questions on HCF of 423, 981, 695, 35 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 423, 981, 695, 35?
Answer: HCF of 423, 981, 695, 35 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 423, 981, 695, 35 using Euclid's Algorithm?
Answer: For arbitrary numbers 423, 981, 695, 35 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
