Highest Common Factor of 1396, 6495 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, 6495 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1396, 6495 is 1 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, 6495 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, 6495 is 1.
HCF(1396, 6495) = 1
HCF of 1396, 6495 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, 6495 is 1.
Highest Common Factor of 1396,6495 is 1
Step 1: Since 6495 > 1396, we apply the division lemma to 6495 and 1396, to get
6495 = 1396 x 4 + 911
Step 2: Since the reminder 1396 ≠ 0, we apply division lemma to 911 and 1396, to get
1396 = 911 x 1 + 485
Step 3: We consider the new divisor 911 and the new remainder 485, and apply the division lemma to get
911 = 485 x 1 + 426
We consider the new divisor 485 and the new remainder 426,and apply the division lemma to get
485 = 426 x 1 + 59
We consider the new divisor 426 and the new remainder 59,and apply the division lemma to get
426 = 59 x 7 + 13
We consider the new divisor 59 and the new remainder 13,and apply the division lemma to get
59 = 13 x 4 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1396 and 6495 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(59,13) = HCF(426,59) = HCF(485,426) = HCF(911,485) = HCF(1396,911) = HCF(6495,1396) .
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Frequently Asked Questions on HCF of 1396, 6495 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, 6495?
Answer: HCF of 1396, 6495 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1396, 6495 using Euclid's Algorithm?
Answer: For arbitrary numbers 1396, 6495 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.