Highest Common Factor of 7345, 6908, 97941 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 7345, 6908, 97941 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7345, 6908, 97941 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 7345, 6908, 97941 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 7345, 6908, 97941 is 1.
HCF(7345, 6908, 97941) = 1
HCF of 7345, 6908, 97941 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7345, 6908, 97941 is 1.
Highest Common Factor of 7345,6908,97941 is 1
Step 1: Since 7345 > 6908, we apply the division lemma to 7345 and 6908, to get
7345 = 6908 x 1 + 437
Step 2: Since the reminder 6908 ≠ 0, we apply division lemma to 437 and 6908, to get
6908 = 437 x 15 + 353
Step 3: We consider the new divisor 437 and the new remainder 353, and apply the division lemma to get
437 = 353 x 1 + 84
We consider the new divisor 353 and the new remainder 84,and apply the division lemma to get
353 = 84 x 4 + 17
We consider the new divisor 84 and the new remainder 17,and apply the division lemma to get
84 = 17 x 4 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7345 and 6908 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(84,17) = HCF(353,84) = HCF(437,353) = HCF(6908,437) = HCF(7345,6908) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97941 > 1, we apply the division lemma to 97941 and 1, to get
97941 = 1 x 97941 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97941 is 1
Notice that 1 = HCF(97941,1) .
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Frequently Asked Questions on HCF of 7345, 6908, 97941 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 7345, 6908, 97941?
Answer: HCF of 7345, 6908, 97941 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7345, 6908, 97941 using Euclid's Algorithm?
Answer: For arbitrary numbers 7345, 6908, 97941 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.