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 9477, 7473 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9477, 7473 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 9477, 7473 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 9477, 7473 is 3.
HCF(9477, 7473) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9477, 7473 is 3.
Step 1: Since 9477 > 7473, we apply the division lemma to 9477 and 7473, to get
9477 = 7473 x 1 + 2004
Step 2: Since the reminder 7473 ≠ 0, we apply division lemma to 2004 and 7473, to get
7473 = 2004 x 3 + 1461
Step 3: We consider the new divisor 2004 and the new remainder 1461, and apply the division lemma to get
2004 = 1461 x 1 + 543
We consider the new divisor 1461 and the new remainder 543,and apply the division lemma to get
1461 = 543 x 2 + 375
We consider the new divisor 543 and the new remainder 375,and apply the division lemma to get
543 = 375 x 1 + 168
We consider the new divisor 375 and the new remainder 168,and apply the division lemma to get
375 = 168 x 2 + 39
We consider the new divisor 168 and the new remainder 39,and apply the division lemma to get
168 = 39 x 4 + 12
We consider the new divisor 39 and the new remainder 12,and apply the division lemma to get
39 = 12 x 3 + 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 9477 and 7473 is 3
Notice that 3 = HCF(12,3) = HCF(39,12) = HCF(168,39) = HCF(375,168) = HCF(543,375) = HCF(1461,543) = HCF(2004,1461) = HCF(7473,2004) = HCF(9477,7473) .
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 9477, 7473?
Answer: HCF of 9477, 7473 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9477, 7473 using Euclid's Algorithm?
Answer: For arbitrary numbers 9477, 7473 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.