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 6453, 9137, 94470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6453, 9137, 94470 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 6453, 9137, 94470 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 6453, 9137, 94470 is 1.
HCF(6453, 9137, 94470) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6453, 9137, 94470 is 1.
Step 1: Since 9137 > 6453, we apply the division lemma to 9137 and 6453, to get
9137 = 6453 x 1 + 2684
Step 2: Since the reminder 6453 ≠ 0, we apply division lemma to 2684 and 6453, to get
6453 = 2684 x 2 + 1085
Step 3: We consider the new divisor 2684 and the new remainder 1085, and apply the division lemma to get
2684 = 1085 x 2 + 514
We consider the new divisor 1085 and the new remainder 514,and apply the division lemma to get
1085 = 514 x 2 + 57
We consider the new divisor 514 and the new remainder 57,and apply the division lemma to get
514 = 57 x 9 + 1
We consider the new divisor 57 and the new remainder 1,and apply the division lemma to get
57 = 1 x 57 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6453 and 9137 is 1
Notice that 1 = HCF(57,1) = HCF(514,57) = HCF(1085,514) = HCF(2684,1085) = HCF(6453,2684) = HCF(9137,6453) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 94470 > 1, we apply the division lemma to 94470 and 1, to get
94470 = 1 x 94470 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 94470 is 1
Notice that 1 = HCF(94470,1) .
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 6453, 9137, 94470?
Answer: HCF of 6453, 9137, 94470 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6453, 9137, 94470 using Euclid's Algorithm?
Answer: For arbitrary numbers 6453, 9137, 94470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.