Highest Common Factor of 7386, 741 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 7386, 741 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7386, 741 is 3 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 7386, 741 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 7386, 741 is 3.
HCF(7386, 741) = 3
HCF of 7386, 741 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7386, 741 is 3.
Highest Common Factor of 7386,741 is 3
Step 1: Since 7386 > 741, we apply the division lemma to 7386 and 741, to get
7386 = 741 x 9 + 717
Step 2: Since the reminder 741 ≠ 0, we apply division lemma to 717 and 741, to get
741 = 717 x 1 + 24
Step 3: We consider the new divisor 717 and the new remainder 24, and apply the division lemma to get
717 = 24 x 29 + 21
We consider the new divisor 24 and the new remainder 21,and apply the division lemma to get
24 = 21 x 1 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7386 and 741 is 3
Notice that 3 = HCF(21,3) = HCF(24,21) = HCF(717,24) = HCF(741,717) = HCF(7386,741) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7386, 741 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 7386, 741?
Answer: HCF of 7386, 741 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7386, 741 using Euclid's Algorithm?
Answer: For arbitrary numbers 7386, 741 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.