Highest Common Factor of 3395, 5453 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 3395, 5453 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 3395, 5453 is 7 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 3395, 5453 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 3395, 5453 is 7.
HCF(3395, 5453) = 7
HCF of 3395, 5453 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3395, 5453 is 7.
Highest Common Factor of 3395,5453 is 7
Step 1: Since 5453 > 3395, we apply the division lemma to 5453 and 3395, to get
5453 = 3395 x 1 + 2058
Step 2: Since the reminder 3395 ≠ 0, we apply division lemma to 2058 and 3395, to get
3395 = 2058 x 1 + 1337
Step 3: We consider the new divisor 2058 and the new remainder 1337, and apply the division lemma to get
2058 = 1337 x 1 + 721
We consider the new divisor 1337 and the new remainder 721,and apply the division lemma to get
1337 = 721 x 1 + 616
We consider the new divisor 721 and the new remainder 616,and apply the division lemma to get
721 = 616 x 1 + 105
We consider the new divisor 616 and the new remainder 105,and apply the division lemma to get
616 = 105 x 5 + 91
We consider the new divisor 105 and the new remainder 91,and apply the division lemma to get
105 = 91 x 1 + 14
We consider the new divisor 91 and the new remainder 14,and apply the division lemma to get
91 = 14 x 6 + 7
We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get
14 = 7 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3395 and 5453 is 7
Notice that 7 = HCF(14,7) = HCF(91,14) = HCF(105,91) = HCF(616,105) = HCF(721,616) = HCF(1337,721) = HCF(2058,1337) = HCF(3395,2058) = HCF(5453,3395) .
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Frequently Asked Questions on HCF of 3395, 5453 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 3395, 5453?
Answer: HCF of 3395, 5453 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3395, 5453 using Euclid's Algorithm?
Answer: For arbitrary numbers 3395, 5453 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.