Highest Common Factor of 429, 986, 23, 475 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 429, 986, 23, 475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 429, 986, 23, 475 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 429, 986, 23, 475 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 429, 986, 23, 475 is 1.
HCF(429, 986, 23, 475) = 1
HCF of 429, 986, 23, 475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 429, 986, 23, 475 is 1.
Highest Common Factor of 429,986,23,475 is 1
Step 1: Since 986 > 429, we apply the division lemma to 986 and 429, to get
986 = 429 x 2 + 128
Step 2: Since the reminder 429 ≠ 0, we apply division lemma to 128 and 429, to get
429 = 128 x 3 + 45
Step 3: We consider the new divisor 128 and the new remainder 45, and apply the division lemma to get
128 = 45 x 2 + 38
We consider the new divisor 45 and the new remainder 38,and apply the division lemma to get
45 = 38 x 1 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 429 and 986 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(45,38) = HCF(128,45) = HCF(429,128) = HCF(986,429) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 23 > 1, we apply the division lemma to 23 and 1, to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 23 is 1
Notice that 1 = HCF(23,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 475 > 1, we apply the division lemma to 475 and 1, to get
475 = 1 x 475 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 475 is 1
Notice that 1 = HCF(475,1) .
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Frequently Asked Questions on HCF of 429, 986, 23, 475 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 429, 986, 23, 475?
Answer: HCF of 429, 986, 23, 475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 429, 986, 23, 475 using Euclid's Algorithm?
Answer: For arbitrary numbers 429, 986, 23, 475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.