Highest Common Factor of 390, 2146 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 390, 2146 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 390, 2146 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 390, 2146 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 390, 2146 is 2.
HCF(390, 2146) = 2
HCF of 390, 2146 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 390, 2146 is 2.
Highest Common Factor of 390,2146 is 2
Step 1: Since 2146 > 390, we apply the division lemma to 2146 and 390, to get
2146 = 390 x 5 + 196
Step 2: Since the reminder 390 ≠ 0, we apply division lemma to 196 and 390, to get
390 = 196 x 1 + 194
Step 3: We consider the new divisor 196 and the new remainder 194, and apply the division lemma to get
196 = 194 x 1 + 2
We consider the new divisor 194 and the new remainder 2, and apply the division lemma to get
194 = 2 x 97 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 390 and 2146 is 2
Notice that 2 = HCF(194,2) = HCF(196,194) = HCF(390,196) = HCF(2146,390) .
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Frequently Asked Questions on HCF of 390, 2146 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 390, 2146?
Answer: HCF of 390, 2146 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 390, 2146 using Euclid's Algorithm?
Answer: For arbitrary numbers 390, 2146 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.