Highest Common Factor of 6580, 9719 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 6580, 9719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6580, 9719 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 6580, 9719 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 6580, 9719 is 1.
HCF(6580, 9719) = 1
HCF of 6580, 9719 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6580, 9719 is 1.
Highest Common Factor of 6580,9719 is 1
Step 1: Since 9719 > 6580, we apply the division lemma to 9719 and 6580, to get
9719 = 6580 x 1 + 3139
Step 2: Since the reminder 6580 ≠ 0, we apply division lemma to 3139 and 6580, to get
6580 = 3139 x 2 + 302
Step 3: We consider the new divisor 3139 and the new remainder 302, and apply the division lemma to get
3139 = 302 x 10 + 119
We consider the new divisor 302 and the new remainder 119,and apply the division lemma to get
302 = 119 x 2 + 64
We consider the new divisor 119 and the new remainder 64,and apply the division lemma to get
119 = 64 x 1 + 55
We consider the new divisor 64 and the new remainder 55,and apply the division lemma to get
64 = 55 x 1 + 9
We consider the new divisor 55 and the new remainder 9,and apply the division lemma to get
55 = 9 x 6 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6580 and 9719 is 1
Notice that 1 = HCF(9,1) = HCF(55,9) = HCF(64,55) = HCF(119,64) = HCF(302,119) = HCF(3139,302) = HCF(6580,3139) = HCF(9719,6580) .
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Frequently Asked Questions on HCF of 6580, 9719 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 6580, 9719?
Answer: HCF of 6580, 9719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6580, 9719 using Euclid's Algorithm?
Answer: For arbitrary numbers 6580, 9719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.