Highest Common Factor of 872, 558, 236 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 872, 558, 236 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 872, 558, 236 is 2 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 872, 558, 236 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 872, 558, 236 is 2.
HCF(872, 558, 236) = 2
HCF of 872, 558, 236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 872, 558, 236 is 2.
Highest Common Factor of 872,558,236 is 2
Step 1: Since 872 > 558, we apply the division lemma to 872 and 558, to get
872 = 558 x 1 + 314
Step 2: Since the reminder 558 ≠ 0, we apply division lemma to 314 and 558, to get
558 = 314 x 1 + 244
Step 3: We consider the new divisor 314 and the new remainder 244, and apply the division lemma to get
314 = 244 x 1 + 70
We consider the new divisor 244 and the new remainder 70,and apply the division lemma to get
244 = 70 x 3 + 34
We consider the new divisor 70 and the new remainder 34,and apply the division lemma to get
70 = 34 x 2 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 872 and 558 is 2
Notice that 2 = HCF(34,2) = HCF(70,34) = HCF(244,70) = HCF(314,244) = HCF(558,314) = HCF(872,558) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 236 > 2, we apply the division lemma to 236 and 2, to get
236 = 2 x 118 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 236 is 2
Notice that 2 = HCF(236,2) .
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Frequently Asked Questions on HCF of 872, 558, 236 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 872, 558, 236?
Answer: HCF of 872, 558, 236 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 872, 558, 236 using Euclid's Algorithm?
Answer: For arbitrary numbers 872, 558, 236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
