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, 1768 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 6564, 1768 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 6564, 1768 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, 1768 is 4.
HCF(6564, 1768) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6564, 1768 is 4.
Step 1: Since 6564 > 1768, we apply the division lemma to 6564 and 1768, to get
6564 = 1768 x 3 + 1260
Step 2: Since the reminder 1768 ≠ 0, we apply division lemma to 1260 and 1768, to get
1768 = 1260 x 1 + 508
Step 3: We consider the new divisor 1260 and the new remainder 508, and apply the division lemma to get
1260 = 508 x 2 + 244
We consider the new divisor 508 and the new remainder 244,and apply the division lemma to get
508 = 244 x 2 + 20
We consider the new divisor 244 and the new remainder 20,and apply the division lemma to get
244 = 20 x 12 + 4
We consider the new divisor 20 and the new remainder 4,and apply the division lemma to get
20 = 4 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 6564 and 1768 is 4
Notice that 4 = HCF(20,4) = HCF(244,20) = HCF(508,244) = HCF(1260,508) = HCF(1768,1260) = HCF(6564,1768) .
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, 1768?
Answer: HCF of 6564, 1768 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6564, 1768 using Euclid's Algorithm?
Answer: For arbitrary numbers 6564, 1768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.