Highest Common Factor of 2991, 3234, 96549 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 2991, 3234, 96549 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2991, 3234, 96549 is 3 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 2991, 3234, 96549 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 2991, 3234, 96549 is 3.
HCF(2991, 3234, 96549) = 3
HCF of 2991, 3234, 96549 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2991, 3234, 96549 is 3.
Highest Common Factor of 2991,3234,96549 is 3
Step 1: Since 3234 > 2991, we apply the division lemma to 3234 and 2991, to get
3234 = 2991 x 1 + 243
Step 2: Since the reminder 2991 ≠ 0, we apply division lemma to 243 and 2991, to get
2991 = 243 x 12 + 75
Step 3: We consider the new divisor 243 and the new remainder 75, and apply the division lemma to get
243 = 75 x 3 + 18
We consider the new divisor 75 and the new remainder 18,and apply the division lemma to get
75 = 18 x 4 + 3
We consider the new divisor 18 and the new remainder 3,and apply the division lemma to get
18 = 3 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2991 and 3234 is 3
Notice that 3 = HCF(18,3) = HCF(75,18) = HCF(243,75) = HCF(2991,243) = HCF(3234,2991) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96549 > 3, we apply the division lemma to 96549 and 3, to get
96549 = 3 x 32183 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 96549 is 3
Notice that 3 = HCF(96549,3) .
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Frequently Asked Questions on HCF of 2991, 3234, 96549 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 2991, 3234, 96549?
Answer: HCF of 2991, 3234, 96549 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2991, 3234, 96549 using Euclid's Algorithm?
Answer: For arbitrary numbers 2991, 3234, 96549 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.