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 9428, 5452 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9428, 5452 is 4 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 9428, 5452 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 9428, 5452 is 4.
HCF(9428, 5452) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9428, 5452 is 4.
Step 1: Since 9428 > 5452, we apply the division lemma to 9428 and 5452, to get
9428 = 5452 x 1 + 3976
Step 2: Since the reminder 5452 ≠ 0, we apply division lemma to 3976 and 5452, to get
5452 = 3976 x 1 + 1476
Step 3: We consider the new divisor 3976 and the new remainder 1476, and apply the division lemma to get
3976 = 1476 x 2 + 1024
We consider the new divisor 1476 and the new remainder 1024,and apply the division lemma to get
1476 = 1024 x 1 + 452
We consider the new divisor 1024 and the new remainder 452,and apply the division lemma to get
1024 = 452 x 2 + 120
We consider the new divisor 452 and the new remainder 120,and apply the division lemma to get
452 = 120 x 3 + 92
We consider the new divisor 120 and the new remainder 92,and apply the division lemma to get
120 = 92 x 1 + 28
We consider the new divisor 92 and the new remainder 28,and apply the division lemma to get
92 = 28 x 3 + 8
We consider the new divisor 28 and the new remainder 8,and apply the division lemma to get
28 = 8 x 3 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9428 and 5452 is 4
Notice that 4 = HCF(8,4) = HCF(28,8) = HCF(92,28) = HCF(120,92) = HCF(452,120) = HCF(1024,452) = HCF(1476,1024) = HCF(3976,1476) = HCF(5452,3976) = HCF(9428,5452) .
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 9428, 5452?
Answer: HCF of 9428, 5452 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9428, 5452 using Euclid's Algorithm?
Answer: For arbitrary numbers 9428, 5452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.