Highest Common Factor of 295, 212, 167, 580 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 295, 212, 167, 580 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 295, 212, 167, 580 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 295, 212, 167, 580 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 295, 212, 167, 580 is 1.
HCF(295, 212, 167, 580) = 1
HCF of 295, 212, 167, 580 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 295, 212, 167, 580 is 1.
Highest Common Factor of 295,212,167,580 is 1
Step 1: Since 295 > 212, we apply the division lemma to 295 and 212, to get
295 = 212 x 1 + 83
Step 2: Since the reminder 212 ≠ 0, we apply division lemma to 83 and 212, to get
212 = 83 x 2 + 46
Step 3: We consider the new divisor 83 and the new remainder 46, and apply the division lemma to get
83 = 46 x 1 + 37
We consider the new divisor 46 and the new remainder 37,and apply the division lemma to get
46 = 37 x 1 + 9
We consider the new divisor 37 and the new remainder 9,and apply the division lemma to get
37 = 9 x 4 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 295 and 212 is 1
Notice that 1 = HCF(9,1) = HCF(37,9) = HCF(46,37) = HCF(83,46) = HCF(212,83) = HCF(295,212) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 167 > 1, we apply the division lemma to 167 and 1, to get
167 = 1 x 167 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 167 is 1
Notice that 1 = HCF(167,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 580 > 1, we apply the division lemma to 580 and 1, to get
580 = 1 x 580 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 580 is 1
Notice that 1 = HCF(580,1) .
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Frequently Asked Questions on HCF of 295, 212, 167, 580 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 295, 212, 167, 580?
Answer: HCF of 295, 212, 167, 580 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 295, 212, 167, 580 using Euclid's Algorithm?
Answer: For arbitrary numbers 295, 212, 167, 580 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.