Highest Common Factor of 522, 709, 615 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 522, 709, 615 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 522, 709, 615 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 522, 709, 615 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 522, 709, 615 is 1.
HCF(522, 709, 615) = 1
HCF of 522, 709, 615 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 522, 709, 615 is 1.
Highest Common Factor of 522,709,615 is 1
Step 1: Since 709 > 522, we apply the division lemma to 709 and 522, to get
709 = 522 x 1 + 187
Step 2: Since the reminder 522 ≠ 0, we apply division lemma to 187 and 522, to get
522 = 187 x 2 + 148
Step 3: We consider the new divisor 187 and the new remainder 148, and apply the division lemma to get
187 = 148 x 1 + 39
We consider the new divisor 148 and the new remainder 39,and apply the division lemma to get
148 = 39 x 3 + 31
We consider the new divisor 39 and the new remainder 31,and apply the division lemma to get
39 = 31 x 1 + 8
We consider the new divisor 31 and the new remainder 8,and apply the division lemma to get
31 = 8 x 3 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 522 and 709 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(31,8) = HCF(39,31) = HCF(148,39) = HCF(187,148) = HCF(522,187) = HCF(709,522) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 615 > 1, we apply the division lemma to 615 and 1, to get
615 = 1 x 615 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 615 is 1
Notice that 1 = HCF(615,1) .
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Frequently Asked Questions on HCF of 522, 709, 615 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 522, 709, 615?
Answer: HCF of 522, 709, 615 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 522, 709, 615 using Euclid's Algorithm?
Answer: For arbitrary numbers 522, 709, 615 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.