Highest Common Factor of 971, 380, 506, 470 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 971, 380, 506, 470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 971, 380, 506, 470 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 971, 380, 506, 470 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 971, 380, 506, 470 is 1.
HCF(971, 380, 506, 470) = 1
HCF of 971, 380, 506, 470 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 971, 380, 506, 470 is 1.
Highest Common Factor of 971,380,506,470 is 1
Step 1: Since 971 > 380, we apply the division lemma to 971 and 380, to get
971 = 380 x 2 + 211
Step 2: Since the reminder 380 ≠ 0, we apply division lemma to 211 and 380, to get
380 = 211 x 1 + 169
Step 3: We consider the new divisor 211 and the new remainder 169, and apply the division lemma to get
211 = 169 x 1 + 42
We consider the new divisor 169 and the new remainder 42,and apply the division lemma to get
169 = 42 x 4 + 1
We consider the new divisor 42 and the new remainder 1,and apply the division lemma to get
42 = 1 x 42 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 971 and 380 is 1
Notice that 1 = HCF(42,1) = HCF(169,42) = HCF(211,169) = HCF(380,211) = HCF(971,380) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 506 > 1, we apply the division lemma to 506 and 1, to get
506 = 1 x 506 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 506 is 1
Notice that 1 = HCF(506,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 470 > 1, we apply the division lemma to 470 and 1, to get
470 = 1 x 470 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 470 is 1
Notice that 1 = HCF(470,1) .
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Frequently Asked Questions on HCF of 971, 380, 506, 470 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 971, 380, 506, 470?
Answer: HCF of 971, 380, 506, 470 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 971, 380, 506, 470 using Euclid's Algorithm?
Answer: For arbitrary numbers 971, 380, 506, 470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.