Highest Common Factor of 870, 5761 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 870, 5761 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 870, 5761 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 870, 5761 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 870, 5761 is 1.
HCF(870, 5761) = 1
HCF of 870, 5761 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 870, 5761 is 1.
Highest Common Factor of 870,5761 is 1
Step 1: Since 5761 > 870, we apply the division lemma to 5761 and 870, to get
5761 = 870 x 6 + 541
Step 2: Since the reminder 870 ≠ 0, we apply division lemma to 541 and 870, to get
870 = 541 x 1 + 329
Step 3: We consider the new divisor 541 and the new remainder 329, and apply the division lemma to get
541 = 329 x 1 + 212
We consider the new divisor 329 and the new remainder 212,and apply the division lemma to get
329 = 212 x 1 + 117
We consider the new divisor 212 and the new remainder 117,and apply the division lemma to get
212 = 117 x 1 + 95
We consider the new divisor 117 and the new remainder 95,and apply the division lemma to get
117 = 95 x 1 + 22
We consider the new divisor 95 and the new remainder 22,and apply the division lemma to get
95 = 22 x 4 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 870 and 5761 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(95,22) = HCF(117,95) = HCF(212,117) = HCF(329,212) = HCF(541,329) = HCF(870,541) = HCF(5761,870) .
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Frequently Asked Questions on HCF of 870, 5761 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 870, 5761?
Answer: HCF of 870, 5761 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 870, 5761 using Euclid's Algorithm?
Answer: For arbitrary numbers 870, 5761 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.