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 947, 582, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 947, 582, 653 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 947, 582, 653 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 947, 582, 653 is 1.
HCF(947, 582, 653) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 947, 582, 653 is 1.
Step 1: Since 947 > 582, we apply the division lemma to 947 and 582, to get
947 = 582 x 1 + 365
Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 365 and 582, to get
582 = 365 x 1 + 217
Step 3: We consider the new divisor 365 and the new remainder 217, and apply the division lemma to get
365 = 217 x 1 + 148
We consider the new divisor 217 and the new remainder 148,and apply the division lemma to get
217 = 148 x 1 + 69
We consider the new divisor 148 and the new remainder 69,and apply the division lemma to get
148 = 69 x 2 + 10
We consider the new divisor 69 and the new remainder 10,and apply the division lemma to get
69 = 10 x 6 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 947 and 582 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(69,10) = HCF(148,69) = HCF(217,148) = HCF(365,217) = HCF(582,365) = HCF(947,582) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 653 > 1, we apply the division lemma to 653 and 1, to get
653 = 1 x 653 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 653 is 1
Notice that 1 = HCF(653,1) .
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 947, 582, 653?
Answer: HCF of 947, 582, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 947, 582, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 947, 582, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.