Highest Common Factor of 349, 597, 651, 332 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 349, 597, 651, 332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 349, 597, 651, 332 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 349, 597, 651, 332 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 349, 597, 651, 332 is 1.
HCF(349, 597, 651, 332) = 1
HCF of 349, 597, 651, 332 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 349, 597, 651, 332 is 1.
Highest Common Factor of 349,597,651,332 is 1
Step 1: Since 597 > 349, we apply the division lemma to 597 and 349, to get
597 = 349 x 1 + 248
Step 2: Since the reminder 349 ≠ 0, we apply division lemma to 248 and 349, to get
349 = 248 x 1 + 101
Step 3: We consider the new divisor 248 and the new remainder 101, and apply the division lemma to get
248 = 101 x 2 + 46
We consider the new divisor 101 and the new remainder 46,and apply the division lemma to get
101 = 46 x 2 + 9
We consider the new divisor 46 and the new remainder 9,and apply the division lemma to get
46 = 9 x 5 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 349 and 597 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(101,46) = HCF(248,101) = HCF(349,248) = HCF(597,349) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 651 > 1, we apply the division lemma to 651 and 1, to get
651 = 1 x 651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 651 is 1
Notice that 1 = HCF(651,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 332 > 1, we apply the division lemma to 332 and 1, to get
332 = 1 x 332 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 332 is 1
Notice that 1 = HCF(332,1) .
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Frequently Asked Questions on HCF of 349, 597, 651, 332 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 349, 597, 651, 332?
Answer: HCF of 349, 597, 651, 332 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 349, 597, 651, 332 using Euclid's Algorithm?
Answer: For arbitrary numbers 349, 597, 651, 332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
