Highest Common Factor of 8824, 6529 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 8824, 6529 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8824, 6529 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 8824, 6529 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 8824, 6529 is 1.
HCF(8824, 6529) = 1
HCF of 8824, 6529 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8824, 6529 is 1.
Highest Common Factor of 8824,6529 is 1
Step 1: Since 8824 > 6529, we apply the division lemma to 8824 and 6529, to get
8824 = 6529 x 1 + 2295
Step 2: Since the reminder 6529 ≠ 0, we apply division lemma to 2295 and 6529, to get
6529 = 2295 x 2 + 1939
Step 3: We consider the new divisor 2295 and the new remainder 1939, and apply the division lemma to get
2295 = 1939 x 1 + 356
We consider the new divisor 1939 and the new remainder 356,and apply the division lemma to get
1939 = 356 x 5 + 159
We consider the new divisor 356 and the new remainder 159,and apply the division lemma to get
356 = 159 x 2 + 38
We consider the new divisor 159 and the new remainder 38,and apply the division lemma to get
159 = 38 x 4 + 7
We consider the new divisor 38 and the new remainder 7,and apply the division lemma to get
38 = 7 x 5 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8824 and 6529 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(38,7) = HCF(159,38) = HCF(356,159) = HCF(1939,356) = HCF(2295,1939) = HCF(6529,2295) = HCF(8824,6529) .
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Frequently Asked Questions on HCF of 8824, 6529 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 8824, 6529?
Answer: HCF of 8824, 6529 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8824, 6529 using Euclid's Algorithm?
Answer: For arbitrary numbers 8824, 6529 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.