Highest Common Factor of 2138, 9094 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 2138, 9094 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2138, 9094 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 2138, 9094 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 2138, 9094 is 2.
HCF(2138, 9094) = 2
HCF of 2138, 9094 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2138, 9094 is 2.
Highest Common Factor of 2138,9094 is 2
Step 1: Since 9094 > 2138, we apply the division lemma to 9094 and 2138, to get
9094 = 2138 x 4 + 542
Step 2: Since the reminder 2138 ≠ 0, we apply division lemma to 542 and 2138, to get
2138 = 542 x 3 + 512
Step 3: We consider the new divisor 542 and the new remainder 512, and apply the division lemma to get
542 = 512 x 1 + 30
We consider the new divisor 512 and the new remainder 30,and apply the division lemma to get
512 = 30 x 17 + 2
We consider the new divisor 30 and the new remainder 2,and apply the division lemma to get
30 = 2 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2138 and 9094 is 2
Notice that 2 = HCF(30,2) = HCF(512,30) = HCF(542,512) = HCF(2138,542) = HCF(9094,2138) .
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Frequently Asked Questions on HCF of 2138, 9094 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 2138, 9094?
Answer: HCF of 2138, 9094 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2138, 9094 using Euclid's Algorithm?
Answer: For arbitrary numbers 2138, 9094 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.