Highest Common Factor of 7198, 9417 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 7198, 9417 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7198, 9417 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 7198, 9417 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 7198, 9417 is 1.
HCF(7198, 9417) = 1
HCF of 7198, 9417 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7198, 9417 is 1.
Highest Common Factor of 7198,9417 is 1
Step 1: Since 9417 > 7198, we apply the division lemma to 9417 and 7198, to get
9417 = 7198 x 1 + 2219
Step 2: Since the reminder 7198 ≠ 0, we apply division lemma to 2219 and 7198, to get
7198 = 2219 x 3 + 541
Step 3: We consider the new divisor 2219 and the new remainder 541, and apply the division lemma to get
2219 = 541 x 4 + 55
We consider the new divisor 541 and the new remainder 55,and apply the division lemma to get
541 = 55 x 9 + 46
We consider the new divisor 55 and the new remainder 46,and apply the division lemma to get
55 = 46 x 1 + 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 7198 and 9417 is 1
Notice that 1 = HCF(9,1) = HCF(46,9) = HCF(55,46) = HCF(541,55) = HCF(2219,541) = HCF(7198,2219) = HCF(9417,7198) .
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Frequently Asked Questions on HCF of 7198, 9417 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 7198, 9417?
Answer: HCF of 7198, 9417 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7198, 9417 using Euclid's Algorithm?
Answer: For arbitrary numbers 7198, 9417 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.