Highest Common Factor of 7601, 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 7601, 871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7601, 871 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 7601, 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 7601, 871 is 1.
HCF(7601, 871) = 1
HCF of 7601, 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 7601, 871 is 1.
Highest Common Factor of 7601,871 is 1
Step 1: Since 7601 > 871, we apply the division lemma to 7601 and 871, to get
7601 = 871 x 8 + 633
Step 2: Since the reminder 871 ≠ 0, we apply division lemma to 633 and 871, to get
871 = 633 x 1 + 238
Step 3: We consider the new divisor 633 and the new remainder 238, and apply the division lemma to get
633 = 238 x 2 + 157
We consider the new divisor 238 and the new remainder 157,and apply the division lemma to get
238 = 157 x 1 + 81
We consider the new divisor 157 and the new remainder 81,and apply the division lemma to get
157 = 81 x 1 + 76
We consider the new divisor 81 and the new remainder 76,and apply the division lemma to get
81 = 76 x 1 + 5
We consider the new divisor 76 and the new remainder 5,and apply the division lemma to get
76 = 5 x 15 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7601 and 871 is 1
Notice that 1 = HCF(5,1) = HCF(76,5) = HCF(81,76) = HCF(157,81) = HCF(238,157) = HCF(633,238) = HCF(871,633) = HCF(7601,871) .
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Frequently Asked Questions on HCF of 7601, 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 7601, 871?
Answer: HCF of 7601, 871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7601, 871 using Euclid's Algorithm?
Answer: For arbitrary numbers 7601, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.