Highest Common Factor of 9963, 6526 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 9963, 6526 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9963, 6526 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 9963, 6526 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 9963, 6526 is 1.
HCF(9963, 6526) = 1
HCF of 9963, 6526 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9963, 6526 is 1.
Highest Common Factor of 9963,6526 is 1
Step 1: Since 9963 > 6526, we apply the division lemma to 9963 and 6526, to get
9963 = 6526 x 1 + 3437
Step 2: Since the reminder 6526 ≠ 0, we apply division lemma to 3437 and 6526, to get
6526 = 3437 x 1 + 3089
Step 3: We consider the new divisor 3437 and the new remainder 3089, and apply the division lemma to get
3437 = 3089 x 1 + 348
We consider the new divisor 3089 and the new remainder 348,and apply the division lemma to get
3089 = 348 x 8 + 305
We consider the new divisor 348 and the new remainder 305,and apply the division lemma to get
348 = 305 x 1 + 43
We consider the new divisor 305 and the new remainder 43,and apply the division lemma to get
305 = 43 x 7 + 4
We consider the new divisor 43 and the new remainder 4,and apply the division lemma to get
43 = 4 x 10 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 9963 and 6526 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(43,4) = HCF(305,43) = HCF(348,305) = HCF(3089,348) = HCF(3437,3089) = HCF(6526,3437) = HCF(9963,6526) .
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Frequently Asked Questions on HCF of 9963, 6526 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 9963, 6526?
Answer: HCF of 9963, 6526 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9963, 6526 using Euclid's Algorithm?
Answer: For arbitrary numbers 9963, 6526 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.