Highest Common Factor of 663, 540, 853, 575 using Euclid's algorithm
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 663, 540, 853, 575 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 663, 540, 853, 575 is 1 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 663, 540, 853, 575 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 663, 540, 853, 575 is 1.
HCF(663, 540, 853, 575) = 1
HCF of 663, 540, 853, 575 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 663, 540, 853, 575 is 1.
Highest Common Factor of 663,540,853,575 is 1
Step 1: Since 663 > 540, we apply the division lemma to 663 and 540, to get
663 = 540 x 1 + 123
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 123 and 540, to get
540 = 123 x 4 + 48
Step 3: We consider the new divisor 123 and the new remainder 48, and apply the division lemma to get
123 = 48 x 2 + 27
We consider the new divisor 48 and the new remainder 27,and apply the division lemma to get
48 = 27 x 1 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 663 and 540 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(48,27) = HCF(123,48) = HCF(540,123) = HCF(663,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 853 > 3, we apply the division lemma to 853 and 3, to get
853 = 3 x 284 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 853 is 1
Notice that 1 = HCF(3,1) = HCF(853,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 575 > 1, we apply the division lemma to 575 and 1, to get
575 = 1 x 575 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 575 is 1
Notice that 1 = HCF(575,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 663, 540, 853, 575 using Euclid's Algorithm
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 663, 540, 853, 575?
Answer: HCF of 663, 540, 853, 575 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 663, 540, 853, 575 using Euclid's Algorithm?
Answer: For arbitrary numbers 663, 540, 853, 575 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.