Highest Common Factor of 7486, 5734 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 7486, 5734 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7486, 5734 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 7486, 5734 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 7486, 5734 is 2.
HCF(7486, 5734) = 2
HCF of 7486, 5734 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7486, 5734 is 2.
Highest Common Factor of 7486,5734 is 2
Step 1: Since 7486 > 5734, we apply the division lemma to 7486 and 5734, to get
7486 = 5734 x 1 + 1752
Step 2: Since the reminder 5734 ≠ 0, we apply division lemma to 1752 and 5734, to get
5734 = 1752 x 3 + 478
Step 3: We consider the new divisor 1752 and the new remainder 478, and apply the division lemma to get
1752 = 478 x 3 + 318
We consider the new divisor 478 and the new remainder 318,and apply the division lemma to get
478 = 318 x 1 + 160
We consider the new divisor 318 and the new remainder 160,and apply the division lemma to get
318 = 160 x 1 + 158
We consider the new divisor 160 and the new remainder 158,and apply the division lemma to get
160 = 158 x 1 + 2
We consider the new divisor 158 and the new remainder 2,and apply the division lemma to get
158 = 2 x 79 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7486 and 5734 is 2
Notice that 2 = HCF(158,2) = HCF(160,158) = HCF(318,160) = HCF(478,318) = HCF(1752,478) = HCF(5734,1752) = HCF(7486,5734) .
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Frequently Asked Questions on HCF of 7486, 5734 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 7486, 5734?
Answer: HCF of 7486, 5734 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7486, 5734 using Euclid's Algorithm?
Answer: For arbitrary numbers 7486, 5734 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
