Highest Common Factor of 5396, 7134 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 5396, 7134 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5396, 7134 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 5396, 7134 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 5396, 7134 is 2.
HCF(5396, 7134) = 2
HCF of 5396, 7134 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5396, 7134 is 2.
Highest Common Factor of 5396,7134 is 2
Step 1: Since 7134 > 5396, we apply the division lemma to 7134 and 5396, to get
7134 = 5396 x 1 + 1738
Step 2: Since the reminder 5396 ≠ 0, we apply division lemma to 1738 and 5396, to get
5396 = 1738 x 3 + 182
Step 3: We consider the new divisor 1738 and the new remainder 182, and apply the division lemma to get
1738 = 182 x 9 + 100
We consider the new divisor 182 and the new remainder 100,and apply the division lemma to get
182 = 100 x 1 + 82
We consider the new divisor 100 and the new remainder 82,and apply the division lemma to get
100 = 82 x 1 + 18
We consider the new divisor 82 and the new remainder 18,and apply the division lemma to get
82 = 18 x 4 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5396 and 7134 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(82,18) = HCF(100,82) = HCF(182,100) = HCF(1738,182) = HCF(5396,1738) = HCF(7134,5396) .
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Frequently Asked Questions on HCF of 5396, 7134 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 5396, 7134?
Answer: HCF of 5396, 7134 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5396, 7134 using Euclid's Algorithm?
Answer: For arbitrary numbers 5396, 7134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.