Highest Common Factor of 871, 613, 171, 796 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 871, 613, 171, 796 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 613, 171, 796 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 871, 613, 171, 796 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 871, 613, 171, 796 is 1.
HCF(871, 613, 171, 796) = 1
HCF of 871, 613, 171, 796 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 871, 613, 171, 796 is 1.
Highest Common Factor of 871,613,171,796 is 1
Step 1: Since 871 > 613, we apply the division lemma to 871 and 613, to get
871 = 613 x 1 + 258
Step 2: Since the reminder 613 ≠ 0, we apply division lemma to 258 and 613, to get
613 = 258 x 2 + 97
Step 3: We consider the new divisor 258 and the new remainder 97, and apply the division lemma to get
258 = 97 x 2 + 64
We consider the new divisor 97 and the new remainder 64,and apply the division lemma to get
97 = 64 x 1 + 33
We consider the new divisor 64 and the new remainder 33,and apply the division lemma to get
64 = 33 x 1 + 31
We consider the new divisor 33 and the new remainder 31,and apply the division lemma to get
33 = 31 x 1 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 871 and 613 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(33,31) = HCF(64,33) = HCF(97,64) = HCF(258,97) = HCF(613,258) = HCF(871,613) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 171 > 1, we apply the division lemma to 171 and 1, to get
171 = 1 x 171 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 171 is 1
Notice that 1 = HCF(171,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 796 > 1, we apply the division lemma to 796 and 1, to get
796 = 1 x 796 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 796 is 1
Notice that 1 = HCF(796,1) .
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Frequently Asked Questions on HCF of 871, 613, 171, 796 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 871, 613, 171, 796?
Answer: HCF of 871, 613, 171, 796 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 613, 171, 796 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 613, 171, 796 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.