Highest Common Factor of 412, 294, 555, 15 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 412, 294, 555, 15 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 412, 294, 555, 15 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 412, 294, 555, 15 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 412, 294, 555, 15 is 1.
HCF(412, 294, 555, 15) = 1
HCF of 412, 294, 555, 15 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 412, 294, 555, 15 is 1.
Highest Common Factor of 412,294,555,15 is 1
Step 1: Since 412 > 294, we apply the division lemma to 412 and 294, to get
412 = 294 x 1 + 118
Step 2: Since the reminder 294 ≠ 0, we apply division lemma to 118 and 294, to get
294 = 118 x 2 + 58
Step 3: We consider the new divisor 118 and the new remainder 58, and apply the division lemma to get
118 = 58 x 2 + 2
We consider the new divisor 58 and the new remainder 2, and apply the division lemma to get
58 = 2 x 29 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 412 and 294 is 2
Notice that 2 = HCF(58,2) = HCF(118,58) = HCF(294,118) = HCF(412,294) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 555 > 2, we apply the division lemma to 555 and 2, to get
555 = 2 x 277 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 555 is 1
Notice that 1 = HCF(2,1) = HCF(555,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 15 > 1, we apply the division lemma to 15 and 1, to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 15 is 1
Notice that 1 = HCF(15,1) .
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Frequently Asked Questions on HCF of 412, 294, 555, 15 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 412, 294, 555, 15?
Answer: HCF of 412, 294, 555, 15 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 412, 294, 555, 15 using Euclid's Algorithm?
Answer: For arbitrary numbers 412, 294, 555, 15 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.