Highest Common Factor of 654, 6095 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 654, 6095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 654, 6095 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 654, 6095 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 654, 6095 is 1.
HCF(654, 6095) = 1
HCF of 654, 6095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 654, 6095 is 1.
Highest Common Factor of 654,6095 is 1
Step 1: Since 6095 > 654, we apply the division lemma to 6095 and 654, to get
6095 = 654 x 9 + 209
Step 2: Since the reminder 654 ≠ 0, we apply division lemma to 209 and 654, to get
654 = 209 x 3 + 27
Step 3: We consider the new divisor 209 and the new remainder 27, and apply the division lemma to get
209 = 27 x 7 + 20
We consider the new divisor 27 and the new remainder 20,and apply the division lemma to get
27 = 20 x 1 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
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 654 and 6095 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(27,20) = HCF(209,27) = HCF(654,209) = HCF(6095,654) .
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Frequently Asked Questions on HCF of 654, 6095 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 654, 6095?
Answer: HCF of 654, 6095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 654, 6095 using Euclid's Algorithm?
Answer: For arbitrary numbers 654, 6095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.