Highest Common Factor of 515, 912, 429, 936 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, 912, 429, 936 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 515, 912, 429, 936 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, 912, 429, 936 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, 912, 429, 936 is 1.
HCF(515, 912, 429, 936) = 1
HCF of 515, 912, 429, 936 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, 912, 429, 936 is 1.
Highest Common Factor of 515,912,429,936 is 1
Step 1: Since 912 > 515, we apply the division lemma to 912 and 515, to get
912 = 515 x 1 + 397
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 397 and 515, to get
515 = 397 x 1 + 118
Step 3: We consider the new divisor 397 and the new remainder 118, and apply the division lemma to get
397 = 118 x 3 + 43
We consider the new divisor 118 and the new remainder 43,and apply the division lemma to get
118 = 43 x 2 + 32
We consider the new divisor 43 and the new remainder 32,and apply the division lemma to get
43 = 32 x 1 + 11
We consider the new divisor 32 and the new remainder 11,and apply the division lemma to get
32 = 11 x 2 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 515 and 912 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(32,11) = HCF(43,32) = HCF(118,43) = HCF(397,118) = HCF(515,397) = HCF(912,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 429 > 1, we apply the division lemma to 429 and 1, to get
429 = 1 x 429 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 429 is 1
Notice that 1 = HCF(429,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 936 > 1, we apply the division lemma to 936 and 1, to get
936 = 1 x 936 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 936 is 1
Notice that 1 = HCF(936,1) .
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Frequently Asked Questions on HCF of 515, 912, 429, 936 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, 912, 429, 936?
Answer: HCF of 515, 912, 429, 936 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 515, 912, 429, 936 using Euclid's Algorithm?
Answer: For arbitrary numbers 515, 912, 429, 936 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.