Highest Common Factor of 679, 4194, 9725 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 679, 4194, 9725 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 679, 4194, 9725 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 679, 4194, 9725 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 679, 4194, 9725 is 1.
HCF(679, 4194, 9725) = 1
HCF of 679, 4194, 9725 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 679, 4194, 9725 is 1.
Highest Common Factor of 679,4194,9725 is 1
Step 1: Since 4194 > 679, we apply the division lemma to 4194 and 679, to get
4194 = 679 x 6 + 120
Step 2: Since the reminder 679 ≠ 0, we apply division lemma to 120 and 679, to get
679 = 120 x 5 + 79
Step 3: We consider the new divisor 120 and the new remainder 79, and apply the division lemma to get
120 = 79 x 1 + 41
We consider the new divisor 79 and the new remainder 41,and apply the division lemma to get
79 = 41 x 1 + 38
We consider the new divisor 41 and the new remainder 38,and apply the division lemma to get
41 = 38 x 1 + 3
We consider the new divisor 38 and the new remainder 3,and apply the division lemma to get
38 = 3 x 12 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 679 and 4194 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) = HCF(41,38) = HCF(79,41) = HCF(120,79) = HCF(679,120) = HCF(4194,679) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9725 > 1, we apply the division lemma to 9725 and 1, to get
9725 = 1 x 9725 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9725 is 1
Notice that 1 = HCF(9725,1) .
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Frequently Asked Questions on HCF of 679, 4194, 9725 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 679, 4194, 9725?
Answer: HCF of 679, 4194, 9725 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 679, 4194, 9725 using Euclid's Algorithm?
Answer: For arbitrary numbers 679, 4194, 9725 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
