Highest Common Factor of 7189, 3862, 98844 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 7189, 3862, 98844 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7189, 3862, 98844 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 7189, 3862, 98844 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 7189, 3862, 98844 is 1.
HCF(7189, 3862, 98844) = 1
HCF of 7189, 3862, 98844 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7189, 3862, 98844 is 1.
Highest Common Factor of 7189,3862,98844 is 1
Step 1: Since 7189 > 3862, we apply the division lemma to 7189 and 3862, to get
7189 = 3862 x 1 + 3327
Step 2: Since the reminder 3862 ≠ 0, we apply division lemma to 3327 and 3862, to get
3862 = 3327 x 1 + 535
Step 3: We consider the new divisor 3327 and the new remainder 535, and apply the division lemma to get
3327 = 535 x 6 + 117
We consider the new divisor 535 and the new remainder 117,and apply the division lemma to get
535 = 117 x 4 + 67
We consider the new divisor 117 and the new remainder 67,and apply the division lemma to get
117 = 67 x 1 + 50
We consider the new divisor 67 and the new remainder 50,and apply the division lemma to get
67 = 50 x 1 + 17
We consider the new divisor 50 and the new remainder 17,and apply the division lemma to get
50 = 17 x 2 + 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 7189 and 3862 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(50,17) = HCF(67,50) = HCF(117,67) = HCF(535,117) = HCF(3327,535) = HCF(3862,3327) = HCF(7189,3862) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 98844 > 1, we apply the division lemma to 98844 and 1, to get
98844 = 1 x 98844 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 98844 is 1
Notice that 1 = HCF(98844,1) .
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Frequently Asked Questions on HCF of 7189, 3862, 98844 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 7189, 3862, 98844?
Answer: HCF of 7189, 3862, 98844 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7189, 3862, 98844 using Euclid's Algorithm?
Answer: For arbitrary numbers 7189, 3862, 98844 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.