Highest Common Factor of 530, 859, 951 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 530, 859, 951 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 530, 859, 951 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 530, 859, 951 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 530, 859, 951 is 1.
HCF(530, 859, 951) = 1
HCF of 530, 859, 951 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 530, 859, 951 is 1.
Highest Common Factor of 530,859,951 is 1
Step 1: Since 859 > 530, we apply the division lemma to 859 and 530, to get
859 = 530 x 1 + 329
Step 2: Since the reminder 530 ≠ 0, we apply division lemma to 329 and 530, to get
530 = 329 x 1 + 201
Step 3: We consider the new divisor 329 and the new remainder 201, and apply the division lemma to get
329 = 201 x 1 + 128
We consider the new divisor 201 and the new remainder 128,and apply the division lemma to get
201 = 128 x 1 + 73
We consider the new divisor 128 and the new remainder 73,and apply the division lemma to get
128 = 73 x 1 + 55
We consider the new divisor 73 and the new remainder 55,and apply the division lemma to get
73 = 55 x 1 + 18
We consider the new divisor 55 and the new remainder 18,and apply the division lemma to get
55 = 18 x 3 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 530 and 859 is 1
Notice that 1 = HCF(18,1) = HCF(55,18) = HCF(73,55) = HCF(128,73) = HCF(201,128) = HCF(329,201) = HCF(530,329) = HCF(859,530) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 951 > 1, we apply the division lemma to 951 and 1, to get
951 = 1 x 951 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 951 is 1
Notice that 1 = HCF(951,1) .
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Frequently Asked Questions on HCF of 530, 859, 951 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 530, 859, 951?
Answer: HCF of 530, 859, 951 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 530, 859, 951 using Euclid's Algorithm?
Answer: For arbitrary numbers 530, 859, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
