Highest Common Factor of 597, 753, 249, 25 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 597, 753, 249, 25 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 753, 249, 25 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 597, 753, 249, 25 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 597, 753, 249, 25 is 1.
HCF(597, 753, 249, 25) = 1
HCF of 597, 753, 249, 25 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 597, 753, 249, 25 is 1.
Highest Common Factor of 597,753,249,25 is 1
Step 1: Since 753 > 597, we apply the division lemma to 753 and 597, to get
753 = 597 x 1 + 156
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 156 and 597, to get
597 = 156 x 3 + 129
Step 3: We consider the new divisor 156 and the new remainder 129, and apply the division lemma to get
156 = 129 x 1 + 27
We consider the new divisor 129 and the new remainder 27,and apply the division lemma to get
129 = 27 x 4 + 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 597 and 753 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(129,27) = HCF(156,129) = HCF(597,156) = HCF(753,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 249 > 3, we apply the division lemma to 249 and 3, to get
249 = 3 x 83 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 249 is 3
Notice that 3 = HCF(249,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 25 > 3, we apply the division lemma to 25 and 3, to get
25 = 3 x 8 + 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 25 is 1
Notice that 1 = HCF(3,1) = HCF(25,3) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 597, 753, 249, 25 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 597, 753, 249, 25?
Answer: HCF of 597, 753, 249, 25 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 753, 249, 25 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 753, 249, 25 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.