Highest Common Factor of 665, 947 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 665, 947 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 665, 947 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 665, 947 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 665, 947 is 1.
HCF(665, 947) = 1
HCF of 665, 947 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 665, 947 is 1.
Highest Common Factor of 665,947 is 1
Step 1: Since 947 > 665, we apply the division lemma to 947 and 665, to get
947 = 665 x 1 + 282
Step 2: Since the reminder 665 ≠ 0, we apply division lemma to 282 and 665, to get
665 = 282 x 2 + 101
Step 3: We consider the new divisor 282 and the new remainder 101, and apply the division lemma to get
282 = 101 x 2 + 80
We consider the new divisor 101 and the new remainder 80,and apply the division lemma to get
101 = 80 x 1 + 21
We consider the new divisor 80 and the new remainder 21,and apply the division lemma to get
80 = 21 x 3 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 665 and 947 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(80,21) = HCF(101,80) = HCF(282,101) = HCF(665,282) = HCF(947,665) .
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Frequently Asked Questions on HCF of 665, 947 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 665, 947?
Answer: HCF of 665, 947 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 665, 947 using Euclid's Algorithm?
Answer: For arbitrary numbers 665, 947 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.