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 9451, 6670 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9451, 6670 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 9451, 6670 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 9451, 6670 is 1.
HCF(9451, 6670) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9451, 6670 is 1.
Step 1: Since 9451 > 6670, we apply the division lemma to 9451 and 6670, to get
9451 = 6670 x 1 + 2781
Step 2: Since the reminder 6670 ≠ 0, we apply division lemma to 2781 and 6670, to get
6670 = 2781 x 2 + 1108
Step 3: We consider the new divisor 2781 and the new remainder 1108, and apply the division lemma to get
2781 = 1108 x 2 + 565
We consider the new divisor 1108 and the new remainder 565,and apply the division lemma to get
1108 = 565 x 1 + 543
We consider the new divisor 565 and the new remainder 543,and apply the division lemma to get
565 = 543 x 1 + 22
We consider the new divisor 543 and the new remainder 22,and apply the division lemma to get
543 = 22 x 24 + 15
We consider the new divisor 22 and the new remainder 15,and apply the division lemma to get
22 = 15 x 1 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9451 and 6670 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(22,15) = HCF(543,22) = HCF(565,543) = HCF(1108,565) = HCF(2781,1108) = HCF(6670,2781) = HCF(9451,6670) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 9451, 6670?
Answer: HCF of 9451, 6670 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9451, 6670 using Euclid's Algorithm?
Answer: For arbitrary numbers 9451, 6670 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.