Highest Common Factor of 3562, 6840 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 3562, 6840 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3562, 6840 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 3562, 6840 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 3562, 6840 is 2.
HCF(3562, 6840) = 2
HCF of 3562, 6840 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3562, 6840 is 2.
Highest Common Factor of 3562,6840 is 2
Step 1: Since 6840 > 3562, we apply the division lemma to 6840 and 3562, to get
6840 = 3562 x 1 + 3278
Step 2: Since the reminder 3562 ≠ 0, we apply division lemma to 3278 and 3562, to get
3562 = 3278 x 1 + 284
Step 3: We consider the new divisor 3278 and the new remainder 284, and apply the division lemma to get
3278 = 284 x 11 + 154
We consider the new divisor 284 and the new remainder 154,and apply the division lemma to get
284 = 154 x 1 + 130
We consider the new divisor 154 and the new remainder 130,and apply the division lemma to get
154 = 130 x 1 + 24
We consider the new divisor 130 and the new remainder 24,and apply the division lemma to get
130 = 24 x 5 + 10
We consider the new divisor 24 and the new remainder 10,and apply the division lemma to get
24 = 10 x 2 + 4
We consider the new divisor 10 and the new remainder 4,and apply the division lemma to get
10 = 4 x 2 + 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 3562 and 6840 is 2
Notice that 2 = HCF(4,2) = HCF(10,4) = HCF(24,10) = HCF(130,24) = HCF(154,130) = HCF(284,154) = HCF(3278,284) = HCF(3562,3278) = HCF(6840,3562) .
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Frequently Asked Questions on HCF of 3562, 6840 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 3562, 6840?
Answer: HCF of 3562, 6840 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3562, 6840 using Euclid's Algorithm?
Answer: For arbitrary numbers 3562, 6840 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
