Highest Common Factor of 5907, 7378 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 5907, 7378 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5907, 7378 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 5907, 7378 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 5907, 7378 is 1.
HCF(5907, 7378) = 1
HCF of 5907, 7378 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5907, 7378 is 1.
Highest Common Factor of 5907,7378 is 1
Step 1: Since 7378 > 5907, we apply the division lemma to 7378 and 5907, to get
7378 = 5907 x 1 + 1471
Step 2: Since the reminder 5907 ≠ 0, we apply division lemma to 1471 and 5907, to get
5907 = 1471 x 4 + 23
Step 3: We consider the new divisor 1471 and the new remainder 23, and apply the division lemma to get
1471 = 23 x 63 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5907 and 7378 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(1471,23) = HCF(5907,1471) = HCF(7378,5907) .
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Frequently Asked Questions on HCF of 5907, 7378 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 5907, 7378?
Answer: HCF of 5907, 7378 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5907, 7378 using Euclid's Algorithm?
Answer: For arbitrary numbers 5907, 7378 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
