Highest Common Factor of 515, 701, 159, 920 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 515, 701, 159, 920 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 701, 159, 920 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 515, 701, 159, 920 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 515, 701, 159, 920 is 1.
HCF(515, 701, 159, 920) = 1
HCF of 515, 701, 159, 920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 515, 701, 159, 920 is 1.
Highest Common Factor of 515,701,159,920 is 1
Step 1: Since 701 > 515, we apply the division lemma to 701 and 515, to get
701 = 515 x 1 + 186
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 186 and 515, to get
515 = 186 x 2 + 143
Step 3: We consider the new divisor 186 and the new remainder 143, and apply the division lemma to get
186 = 143 x 1 + 43
We consider the new divisor 143 and the new remainder 43,and apply the division lemma to get
143 = 43 x 3 + 14
We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get
43 = 14 x 3 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 701 is 1
Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(143,43) = HCF(186,143) = HCF(515,186) = HCF(701,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 159 > 1, we apply the division lemma to 159 and 1, to get
159 = 1 x 159 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 159 is 1
Notice that 1 = HCF(159,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 1, we apply the division lemma to 920 and 1, to get
920 = 1 x 920 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 920 is 1
Notice that 1 = HCF(920,1) .
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Frequently Asked Questions on HCF of 515, 701, 159, 920 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 515, 701, 159, 920?
Answer: HCF of 515, 701, 159, 920 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 701, 159, 920 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 701, 159, 920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.