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 6204, 9452 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6204, 9452 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 6204, 9452 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 6204, 9452 is 4.
HCF(6204, 9452) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6204, 9452 is 4.
Step 1: Since 9452 > 6204, we apply the division lemma to 9452 and 6204, to get
9452 = 6204 x 1 + 3248
Step 2: Since the reminder 6204 ≠ 0, we apply division lemma to 3248 and 6204, to get
6204 = 3248 x 1 + 2956
Step 3: We consider the new divisor 3248 and the new remainder 2956, and apply the division lemma to get
3248 = 2956 x 1 + 292
We consider the new divisor 2956 and the new remainder 292,and apply the division lemma to get
2956 = 292 x 10 + 36
We consider the new divisor 292 and the new remainder 36,and apply the division lemma to get
292 = 36 x 8 + 4
We consider the new divisor 36 and the new remainder 4,and apply the division lemma to get
36 = 4 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6204 and 9452 is 4
Notice that 4 = HCF(36,4) = HCF(292,36) = HCF(2956,292) = HCF(3248,2956) = HCF(6204,3248) = HCF(9452,6204) .
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 6204, 9452?
Answer: HCF of 6204, 9452 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6204, 9452 using Euclid's Algorithm?
Answer: For arbitrary numbers 6204, 9452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.