Highest Common Factor of 3292, 6880, 68313 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 3292, 6880, 68313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3292, 6880, 68313 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 3292, 6880, 68313 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 3292, 6880, 68313 is 1.
HCF(3292, 6880, 68313) = 1
HCF of 3292, 6880, 68313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3292, 6880, 68313 is 1.
Highest Common Factor of 3292,6880,68313 is 1
Step 1: Since 6880 > 3292, we apply the division lemma to 6880 and 3292, to get
6880 = 3292 x 2 + 296
Step 2: Since the reminder 3292 ≠ 0, we apply division lemma to 296 and 3292, to get
3292 = 296 x 11 + 36
Step 3: We consider the new divisor 296 and the new remainder 36, and apply the division lemma to get
296 = 36 x 8 + 8
We consider the new divisor 36 and the new remainder 8,and apply the division lemma to get
36 = 8 x 4 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 3292 and 6880 is 4
Notice that 4 = HCF(8,4) = HCF(36,8) = HCF(296,36) = HCF(3292,296) = HCF(6880,3292) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 68313 > 4, we apply the division lemma to 68313 and 4, to get
68313 = 4 x 17078 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 68313 is 1
Notice that 1 = HCF(4,1) = HCF(68313,4) .
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Frequently Asked Questions on HCF of 3292, 6880, 68313 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 3292, 6880, 68313?
Answer: HCF of 3292, 6880, 68313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3292, 6880, 68313 using Euclid's Algorithm?
Answer: For arbitrary numbers 3292, 6880, 68313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
