Highest Common Factor of 6920, 6618 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 6920, 6618 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6920, 6618 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 6920, 6618 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 6920, 6618 is 2.
HCF(6920, 6618) = 2
HCF of 6920, 6618 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6920, 6618 is 2.
Highest Common Factor of 6920,6618 is 2
Step 1: Since 6920 > 6618, we apply the division lemma to 6920 and 6618, to get
6920 = 6618 x 1 + 302
Step 2: Since the reminder 6618 ≠ 0, we apply division lemma to 302 and 6618, to get
6618 = 302 x 21 + 276
Step 3: We consider the new divisor 302 and the new remainder 276, and apply the division lemma to get
302 = 276 x 1 + 26
We consider the new divisor 276 and the new remainder 26,and apply the division lemma to get
276 = 26 x 10 + 16
We consider the new divisor 26 and the new remainder 16,and apply the division lemma to get
26 = 16 x 1 + 10
We consider the new divisor 16 and the new remainder 10,and apply the division lemma to get
16 = 10 x 1 + 6
We consider the new divisor 10 and the new remainder 6,and apply the division lemma to get
10 = 6 x 1 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6920 and 6618 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(10,6) = HCF(16,10) = HCF(26,16) = HCF(276,26) = HCF(302,276) = HCF(6618,302) = HCF(6920,6618) .
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Frequently Asked Questions on HCF of 6920, 6618 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 6920, 6618?
Answer: HCF of 6920, 6618 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6920, 6618 using Euclid's Algorithm?
Answer: For arbitrary numbers 6920, 6618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.