Highest Common Factor of 2953, 5578, 96655 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 2953, 5578, 96655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2953, 5578, 96655 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 2953, 5578, 96655 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 2953, 5578, 96655 is 1.
HCF(2953, 5578, 96655) = 1
HCF of 2953, 5578, 96655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2953, 5578, 96655 is 1.
Highest Common Factor of 2953,5578,96655 is 1
Step 1: Since 5578 > 2953, we apply the division lemma to 5578 and 2953, to get
5578 = 2953 x 1 + 2625
Step 2: Since the reminder 2953 ≠ 0, we apply division lemma to 2625 and 2953, to get
2953 = 2625 x 1 + 328
Step 3: We consider the new divisor 2625 and the new remainder 328, and apply the division lemma to get
2625 = 328 x 8 + 1
We consider the new divisor 328 and the new remainder 1, and apply the division lemma to get
328 = 1 x 328 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2953 and 5578 is 1
Notice that 1 = HCF(328,1) = HCF(2625,328) = HCF(2953,2625) = HCF(5578,2953) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96655 > 1, we apply the division lemma to 96655 and 1, to get
96655 = 1 x 96655 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96655 is 1
Notice that 1 = HCF(96655,1) .
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Frequently Asked Questions on HCF of 2953, 5578, 96655 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 2953, 5578, 96655?
Answer: HCF of 2953, 5578, 96655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2953, 5578, 96655 using Euclid's Algorithm?
Answer: For arbitrary numbers 2953, 5578, 96655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.