Highest Common Factor of 651, 951 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, 951 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 651, 951 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, 951 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, 951 is 3.
HCF(651, 951) = 3
HCF of 651, 951 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, 951 is 3.
Highest Common Factor of 651,951 is 3
Step 1: Since 951 > 651, we apply the division lemma to 951 and 651, to get
951 = 651 x 1 + 300
Step 2: Since the reminder 651 ≠ 0, we apply division lemma to 300 and 651, to get
651 = 300 x 2 + 51
Step 3: We consider the new divisor 300 and the new remainder 51, and apply the division lemma to get
300 = 51 x 5 + 45
We consider the new divisor 51 and the new remainder 45,and apply the division lemma to get
51 = 45 x 1 + 6
We consider the new divisor 45 and the new remainder 6,and apply the division lemma to get
45 = 6 x 7 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 651 and 951 is 3
Notice that 3 = HCF(6,3) = HCF(45,6) = HCF(51,45) = HCF(300,51) = HCF(651,300) = HCF(951,651) .
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Frequently Asked Questions on HCF of 651, 951 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, 951?
Answer: HCF of 651, 951 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 651, 951 using Euclid's Algorithm?
Answer: For arbitrary numbers 651, 951 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
