Highest Common Factor of 597, 348, 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, 348, 25 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 348, 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, 348, 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, 348, 25 is 1.
HCF(597, 348, 25) = 1
HCF of 597, 348, 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, 348, 25 is 1.
Highest Common Factor of 597,348,25 is 1
Step 1: Since 597 > 348, we apply the division lemma to 597 and 348, to get
597 = 348 x 1 + 249
Step 2: Since the reminder 348 ≠ 0, we apply division lemma to 249 and 348, to get
348 = 249 x 1 + 99
Step 3: We consider the new divisor 249 and the new remainder 99, and apply the division lemma to get
249 = 99 x 2 + 51
We consider the new divisor 99 and the new remainder 51,and apply the division lemma to get
99 = 51 x 1 + 48
We consider the new divisor 51 and the new remainder 48,and apply the division lemma to get
51 = 48 x 1 + 3
We consider the new divisor 48 and the new remainder 3,and apply the division lemma to get
48 = 3 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 597 and 348 is 3
Notice that 3 = HCF(48,3) = HCF(51,48) = HCF(99,51) = HCF(249,99) = HCF(348,249) = HCF(597,348) .
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) .
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Frequently Asked Questions on HCF of 597, 348, 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, 348, 25?
Answer: HCF of 597, 348, 25 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 348, 25 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 348, 25 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.