Highest Common Factor of 9924, 6485 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 9924, 6485 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9924, 6485 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 9924, 6485 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 9924, 6485 is 1.
HCF(9924, 6485) = 1
HCF of 9924, 6485 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9924, 6485 is 1.
Highest Common Factor of 9924,6485 is 1
Step 1: Since 9924 > 6485, we apply the division lemma to 9924 and 6485, to get
9924 = 6485 x 1 + 3439
Step 2: Since the reminder 6485 ≠ 0, we apply division lemma to 3439 and 6485, to get
6485 = 3439 x 1 + 3046
Step 3: We consider the new divisor 3439 and the new remainder 3046, and apply the division lemma to get
3439 = 3046 x 1 + 393
We consider the new divisor 3046 and the new remainder 393,and apply the division lemma to get
3046 = 393 x 7 + 295
We consider the new divisor 393 and the new remainder 295,and apply the division lemma to get
393 = 295 x 1 + 98
We consider the new divisor 295 and the new remainder 98,and apply the division lemma to get
295 = 98 x 3 + 1
We consider the new divisor 98 and the new remainder 1,and apply the division lemma to get
98 = 1 x 98 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9924 and 6485 is 1
Notice that 1 = HCF(98,1) = HCF(295,98) = HCF(393,295) = HCF(3046,393) = HCF(3439,3046) = HCF(6485,3439) = HCF(9924,6485) .
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Frequently Asked Questions on HCF of 9924, 6485 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 9924, 6485?
Answer: HCF of 9924, 6485 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9924, 6485 using Euclid's Algorithm?
Answer: For arbitrary numbers 9924, 6485 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.