Highest Common Factor of 7438, 5185 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 7438, 5185 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7438, 5185 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 7438, 5185 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 7438, 5185 is 1.
HCF(7438, 5185) = 1
HCF of 7438, 5185 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7438, 5185 is 1.
Highest Common Factor of 7438,5185 is 1
Step 1: Since 7438 > 5185, we apply the division lemma to 7438 and 5185, to get
7438 = 5185 x 1 + 2253
Step 2: Since the reminder 5185 ≠ 0, we apply division lemma to 2253 and 5185, to get
5185 = 2253 x 2 + 679
Step 3: We consider the new divisor 2253 and the new remainder 679, and apply the division lemma to get
2253 = 679 x 3 + 216
We consider the new divisor 679 and the new remainder 216,and apply the division lemma to get
679 = 216 x 3 + 31
We consider the new divisor 216 and the new remainder 31,and apply the division lemma to get
216 = 31 x 6 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7438 and 5185 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(216,31) = HCF(679,216) = HCF(2253,679) = HCF(5185,2253) = HCF(7438,5185) .
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Frequently Asked Questions on HCF of 7438, 5185 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 7438, 5185?
Answer: HCF of 7438, 5185 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7438, 5185 using Euclid's Algorithm?
Answer: For arbitrary numbers 7438, 5185 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.