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 6564, 4392 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 6564, 4392 is 12 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 6564, 4392 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 6564, 4392 is 12.
HCF(6564, 4392) = 12
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6564, 4392 is 12.
Step 1: Since 6564 > 4392, we apply the division lemma to 6564 and 4392, to get
6564 = 4392 x 1 + 2172
Step 2: Since the reminder 4392 ≠ 0, we apply division lemma to 2172 and 4392, to get
4392 = 2172 x 2 + 48
Step 3: We consider the new divisor 2172 and the new remainder 48, and apply the division lemma to get
2172 = 48 x 45 + 12
We consider the new divisor 48 and the new remainder 12, and apply the division lemma to get
48 = 12 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 6564 and 4392 is 12
Notice that 12 = HCF(48,12) = HCF(2172,48) = HCF(4392,2172) = HCF(6564,4392) .
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 6564, 4392?
Answer: HCF of 6564, 4392 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6564, 4392 using Euclid's Algorithm?
Answer: For arbitrary numbers 6564, 4392 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.