Highest Common Factor of 475, 361, 943, 440 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 475, 361, 943, 440 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 475, 361, 943, 440 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 475, 361, 943, 440 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 475, 361, 943, 440 is 1.
HCF(475, 361, 943, 440) = 1
HCF of 475, 361, 943, 440 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 475, 361, 943, 440 is 1.
Highest Common Factor of 475,361,943,440 is 1
Step 1: Since 475 > 361, we apply the division lemma to 475 and 361, to get
475 = 361 x 1 + 114
Step 2: Since the reminder 361 ≠ 0, we apply division lemma to 114 and 361, to get
361 = 114 x 3 + 19
Step 3: We consider the new divisor 114 and the new remainder 19, and apply the division lemma to get
114 = 19 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 475 and 361 is 19
Notice that 19 = HCF(114,19) = HCF(361,114) = HCF(475,361) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 943 > 19, we apply the division lemma to 943 and 19, to get
943 = 19 x 49 + 12
Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 12 and 19, to get
19 = 12 x 1 + 7
Step 3: We consider the new divisor 12 and the new remainder 7, and apply the division lemma to get
12 = 7 x 1 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
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 19 and 943 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(943,19) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 440 > 1, we apply the division lemma to 440 and 1, to get
440 = 1 x 440 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 440 is 1
Notice that 1 = HCF(440,1) .
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Frequently Asked Questions on HCF of 475, 361, 943, 440 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 475, 361, 943, 440?
Answer: HCF of 475, 361, 943, 440 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 475, 361, 943, 440 using Euclid's Algorithm?
Answer: For arbitrary numbers 475, 361, 943, 440 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.