Highest Common Factor of 1396, 3570 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 1396, 3570 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1396, 3570 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 1396, 3570 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 1396, 3570 is 2.
HCF(1396, 3570) = 2
HCF of 1396, 3570 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1396, 3570 is 2.
Highest Common Factor of 1396,3570 is 2
Step 1: Since 3570 > 1396, we apply the division lemma to 3570 and 1396, to get
3570 = 1396 x 2 + 778
Step 2: Since the reminder 1396 ≠ 0, we apply division lemma to 778 and 1396, to get
1396 = 778 x 1 + 618
Step 3: We consider the new divisor 778 and the new remainder 618, and apply the division lemma to get
778 = 618 x 1 + 160
We consider the new divisor 618 and the new remainder 160,and apply the division lemma to get
618 = 160 x 3 + 138
We consider the new divisor 160 and the new remainder 138,and apply the division lemma to get
160 = 138 x 1 + 22
We consider the new divisor 138 and the new remainder 22,and apply the division lemma to get
138 = 22 x 6 + 6
We consider the new divisor 22 and the new remainder 6,and apply the division lemma to get
22 = 6 x 3 + 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 1396 and 3570 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(22,6) = HCF(138,22) = HCF(160,138) = HCF(618,160) = HCF(778,618) = HCF(1396,778) = HCF(3570,1396) .
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Frequently Asked Questions on HCF of 1396, 3570 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 1396, 3570?
Answer: HCF of 1396, 3570 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1396, 3570 using Euclid's Algorithm?
Answer: For arbitrary numbers 1396, 3570 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.