Highest Common Factor of 156, 273, 871 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 156, 273, 871 i.e. 13 the largest integer that leaves a remainder zero for all numbers.
HCF of 156, 273, 871 is 13 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 156, 273, 871 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 156, 273, 871 is 13.
HCF(156, 273, 871) = 13
HCF of 156, 273, 871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 156, 273, 871 is 13.
Highest Common Factor of 156,273,871 is 13
Step 1: Since 273 > 156, we apply the division lemma to 273 and 156, to get
273 = 156 x 1 + 117
Step 2: Since the reminder 156 ≠ 0, we apply division lemma to 117 and 156, to get
156 = 117 x 1 + 39
Step 3: We consider the new divisor 117 and the new remainder 39, and apply the division lemma to get
117 = 39 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 39, the HCF of 156 and 273 is 39
Notice that 39 = HCF(117,39) = HCF(156,117) = HCF(273,156) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 871 > 39, we apply the division lemma to 871 and 39, to get
871 = 39 x 22 + 13
Step 2: Since the reminder 39 ≠ 0, we apply division lemma to 13 and 39, to get
39 = 13 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 39 and 871 is 13
Notice that 13 = HCF(39,13) = HCF(871,39) .
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Frequently Asked Questions on HCF of 156, 273, 871 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 156, 273, 871?
Answer: HCF of 156, 273, 871 is 13 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 156, 273, 871 using Euclid's Algorithm?
Answer: For arbitrary numbers 156, 273, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.