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 1720, 6564 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 1720, 6564 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 1720, 6564 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 1720, 6564 is 4.
HCF(1720, 6564) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1720, 6564 is 4.
Step 1: Since 6564 > 1720, we apply the division lemma to 6564 and 1720, to get
6564 = 1720 x 3 + 1404
Step 2: Since the reminder 1720 ≠ 0, we apply division lemma to 1404 and 1720, to get
1720 = 1404 x 1 + 316
Step 3: We consider the new divisor 1404 and the new remainder 316, and apply the division lemma to get
1404 = 316 x 4 + 140
We consider the new divisor 316 and the new remainder 140,and apply the division lemma to get
316 = 140 x 2 + 36
We consider the new divisor 140 and the new remainder 36,and apply the division lemma to get
140 = 36 x 3 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 1720 and 6564 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(140,36) = HCF(316,140) = HCF(1404,316) = HCF(1720,1404) = HCF(6564,1720) .
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 1720, 6564?
Answer: HCF of 1720, 6564 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1720, 6564 using Euclid's Algorithm?
Answer: For arbitrary numbers 1720, 6564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.