Highest Common Factor of 7059, 6455 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 7059, 6455 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7059, 6455 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 7059, 6455 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 7059, 6455 is 1.
HCF(7059, 6455) = 1
HCF of 7059, 6455 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7059, 6455 is 1.
Highest Common Factor of 7059,6455 is 1
Step 1: Since 7059 > 6455, we apply the division lemma to 7059 and 6455, to get
7059 = 6455 x 1 + 604
Step 2: Since the reminder 6455 ≠ 0, we apply division lemma to 604 and 6455, to get
6455 = 604 x 10 + 415
Step 3: We consider the new divisor 604 and the new remainder 415, and apply the division lemma to get
604 = 415 x 1 + 189
We consider the new divisor 415 and the new remainder 189,and apply the division lemma to get
415 = 189 x 2 + 37
We consider the new divisor 189 and the new remainder 37,and apply the division lemma to get
189 = 37 x 5 + 4
We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get
37 = 4 x 9 + 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 7059 and 6455 is 1
Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(189,37) = HCF(415,189) = HCF(604,415) = HCF(6455,604) = HCF(7059,6455) .
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Frequently Asked Questions on HCF of 7059, 6455 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 7059, 6455?
Answer: HCF of 7059, 6455 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7059, 6455 using Euclid's Algorithm?
Answer: For arbitrary numbers 7059, 6455 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.