Highest Common Factor of 651, 393 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 651, 393 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 393 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 651, 393 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 651, 393 is 3.
HCF(651, 393) = 3
HCF of 651, 393 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 651, 393 is 3.
Highest Common Factor of 651,393 is 3
Step 1: Since 651 > 393, we apply the division lemma to 651 and 393, to get
651 = 393 x 1 + 258
Step 2: Since the reminder 393 ≠ 0, we apply division lemma to 258 and 393, to get
393 = 258 x 1 + 135
Step 3: We consider the new divisor 258 and the new remainder 135, and apply the division lemma to get
258 = 135 x 1 + 123
We consider the new divisor 135 and the new remainder 123,and apply the division lemma to get
135 = 123 x 1 + 12
We consider the new divisor 123 and the new remainder 12,and apply the division lemma to get
123 = 12 x 10 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 651 and 393 is 3
Notice that 3 = HCF(12,3) = HCF(123,12) = HCF(135,123) = HCF(258,135) = HCF(393,258) = HCF(651,393) .
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Frequently Asked Questions on HCF of 651, 393 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 651, 393?
Answer: HCF of 651, 393 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 393 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.