Highest Common Factor of 6320, 8095 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 6320, 8095 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 6320, 8095 is 5 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 6320, 8095 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 6320, 8095 is 5.
HCF(6320, 8095) = 5
HCF of 6320, 8095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6320, 8095 is 5.
Highest Common Factor of 6320,8095 is 5
Step 1: Since 8095 > 6320, we apply the division lemma to 8095 and 6320, to get
8095 = 6320 x 1 + 1775
Step 2: Since the reminder 6320 ≠ 0, we apply division lemma to 1775 and 6320, to get
6320 = 1775 x 3 + 995
Step 3: We consider the new divisor 1775 and the new remainder 995, and apply the division lemma to get
1775 = 995 x 1 + 780
We consider the new divisor 995 and the new remainder 780,and apply the division lemma to get
995 = 780 x 1 + 215
We consider the new divisor 780 and the new remainder 215,and apply the division lemma to get
780 = 215 x 3 + 135
We consider the new divisor 215 and the new remainder 135,and apply the division lemma to get
215 = 135 x 1 + 80
We consider the new divisor 135 and the new remainder 80,and apply the division lemma to get
135 = 80 x 1 + 55
We consider the new divisor 80 and the new remainder 55,and apply the division lemma to get
80 = 55 x 1 + 25
We consider the new divisor 55 and the new remainder 25,and apply the division lemma to get
55 = 25 x 2 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 6320 and 8095 is 5
Notice that 5 = HCF(25,5) = HCF(55,25) = HCF(80,55) = HCF(135,80) = HCF(215,135) = HCF(780,215) = HCF(995,780) = HCF(1775,995) = HCF(6320,1775) = HCF(8095,6320) .
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Frequently Asked Questions on HCF of 6320, 8095 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 6320, 8095?
Answer: HCF of 6320, 8095 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6320, 8095 using Euclid's Algorithm?
Answer: For arbitrary numbers 6320, 8095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.