Highest Common Factor of 9142, 5378 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 9142, 5378 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9142, 5378 is 2 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 9142, 5378 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 9142, 5378 is 2.
HCF(9142, 5378) = 2
HCF of 9142, 5378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9142, 5378 is 2.
Highest Common Factor of 9142,5378 is 2
Step 1: Since 9142 > 5378, we apply the division lemma to 9142 and 5378, to get
9142 = 5378 x 1 + 3764
Step 2: Since the reminder 5378 ≠ 0, we apply division lemma to 3764 and 5378, to get
5378 = 3764 x 1 + 1614
Step 3: We consider the new divisor 3764 and the new remainder 1614, and apply the division lemma to get
3764 = 1614 x 2 + 536
We consider the new divisor 1614 and the new remainder 536,and apply the division lemma to get
1614 = 536 x 3 + 6
We consider the new divisor 536 and the new remainder 6,and apply the division lemma to get
536 = 6 x 89 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9142 and 5378 is 2
Notice that 2 = HCF(6,2) = HCF(536,6) = HCF(1614,536) = HCF(3764,1614) = HCF(5378,3764) = HCF(9142,5378) .
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Frequently Asked Questions on HCF of 9142, 5378 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 9142, 5378?
Answer: HCF of 9142, 5378 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9142, 5378 using Euclid's Algorithm?
Answer: For arbitrary numbers 9142, 5378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.