Highest Common Factor of 6353, 8076 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 6353, 8076 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6353, 8076 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 6353, 8076 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 6353, 8076 is 1.
HCF(6353, 8076) = 1
HCF of 6353, 8076 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6353, 8076 is 1.
Highest Common Factor of 6353,8076 is 1
Step 1: Since 8076 > 6353, we apply the division lemma to 8076 and 6353, to get
8076 = 6353 x 1 + 1723
Step 2: Since the reminder 6353 ≠ 0, we apply division lemma to 1723 and 6353, to get
6353 = 1723 x 3 + 1184
Step 3: We consider the new divisor 1723 and the new remainder 1184, and apply the division lemma to get
1723 = 1184 x 1 + 539
We consider the new divisor 1184 and the new remainder 539,and apply the division lemma to get
1184 = 539 x 2 + 106
We consider the new divisor 539 and the new remainder 106,and apply the division lemma to get
539 = 106 x 5 + 9
We consider the new divisor 106 and the new remainder 9,and apply the division lemma to get
106 = 9 x 11 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6353 and 8076 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(106,9) = HCF(539,106) = HCF(1184,539) = HCF(1723,1184) = HCF(6353,1723) = HCF(8076,6353) .
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Frequently Asked Questions on HCF of 6353, 8076 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 6353, 8076?
Answer: HCF of 6353, 8076 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6353, 8076 using Euclid's Algorithm?
Answer: For arbitrary numbers 6353, 8076 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
