Highest Common Factor of 871, 364, 760, 56 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, 364, 760, 56 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 871, 364, 760, 56 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, 364, 760, 56 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, 364, 760, 56 is 1.
HCF(871, 364, 760, 56) = 1
HCF of 871, 364, 760, 56 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, 364, 760, 56 is 1.
Highest Common Factor of 871,364,760,56 is 1
Step 1: Since 871 > 364, we apply the division lemma to 871 and 364, to get
871 = 364 x 2 + 143
Step 2: Since the reminder 364 ≠ 0, we apply division lemma to 143 and 364, to get
364 = 143 x 2 + 78
Step 3: We consider the new divisor 143 and the new remainder 78, and apply the division lemma to get
143 = 78 x 1 + 65
We consider the new divisor 78 and the new remainder 65,and apply the division lemma to get
78 = 65 x 1 + 13
We consider the new divisor 65 and the new remainder 13,and apply the division lemma to get
65 = 13 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 871 and 364 is 13
Notice that 13 = HCF(65,13) = HCF(78,65) = HCF(143,78) = HCF(364,143) = HCF(871,364) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 760 > 13, we apply the division lemma to 760 and 13, to get
760 = 13 x 58 + 6
Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 6 and 13, to get
13 = 6 x 2 + 1
Step 3: We consider the new divisor 6 and the new remainder 1, and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 760 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(760,13) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 56 > 1, we apply the division lemma to 56 and 1, to get
56 = 1 x 56 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 56 is 1
Notice that 1 = HCF(56,1) .
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Frequently Asked Questions on HCF of 871, 364, 760, 56 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, 364, 760, 56?
Answer: HCF of 871, 364, 760, 56 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 871, 364, 760, 56 using Euclid's Algorithm?
Answer: For arbitrary numbers 871, 364, 760, 56 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.