Highest Common Factor of 8495, 9924, 65451 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 8495, 9924, 65451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8495, 9924, 65451 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 8495, 9924, 65451 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 8495, 9924, 65451 is 1.
HCF(8495, 9924, 65451) = 1
HCF of 8495, 9924, 65451 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8495, 9924, 65451 is 1.
Highest Common Factor of 8495,9924,65451 is 1
Step 1: Since 9924 > 8495, we apply the division lemma to 9924 and 8495, to get
9924 = 8495 x 1 + 1429
Step 2: Since the reminder 8495 ≠ 0, we apply division lemma to 1429 and 8495, to get
8495 = 1429 x 5 + 1350
Step 3: We consider the new divisor 1429 and the new remainder 1350, and apply the division lemma to get
1429 = 1350 x 1 + 79
We consider the new divisor 1350 and the new remainder 79,and apply the division lemma to get
1350 = 79 x 17 + 7
We consider the new divisor 79 and the new remainder 7,and apply the division lemma to get
79 = 7 x 11 + 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 8495 and 9924 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(79,7) = HCF(1350,79) = HCF(1429,1350) = HCF(8495,1429) = HCF(9924,8495) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65451 > 1, we apply the division lemma to 65451 and 1, to get
65451 = 1 x 65451 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65451 is 1
Notice that 1 = HCF(65451,1) .
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Frequently Asked Questions on HCF of 8495, 9924, 65451 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 8495, 9924, 65451?
Answer: HCF of 8495, 9924, 65451 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8495, 9924, 65451 using Euclid's Algorithm?
Answer: For arbitrary numbers 8495, 9924, 65451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
