Highest Common Factor of 7398, 3885 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 7398, 3885 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7398, 3885 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 7398, 3885 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 7398, 3885 is 3.
HCF(7398, 3885) = 3
HCF of 7398, 3885 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7398, 3885 is 3.
Highest Common Factor of 7398,3885 is 3
Step 1: Since 7398 > 3885, we apply the division lemma to 7398 and 3885, to get
7398 = 3885 x 1 + 3513
Step 2: Since the reminder 3885 ≠ 0, we apply division lemma to 3513 and 3885, to get
3885 = 3513 x 1 + 372
Step 3: We consider the new divisor 3513 and the new remainder 372, and apply the division lemma to get
3513 = 372 x 9 + 165
We consider the new divisor 372 and the new remainder 165,and apply the division lemma to get
372 = 165 x 2 + 42
We consider the new divisor 165 and the new remainder 42,and apply the division lemma to get
165 = 42 x 3 + 39
We consider the new divisor 42 and the new remainder 39,and apply the division lemma to get
42 = 39 x 1 + 3
We consider the new divisor 39 and the new remainder 3,and apply the division lemma to get
39 = 3 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7398 and 3885 is 3
Notice that 3 = HCF(39,3) = HCF(42,39) = HCF(165,42) = HCF(372,165) = HCF(3513,372) = HCF(3885,3513) = HCF(7398,3885) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7398, 3885 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 7398, 3885?
Answer: HCF of 7398, 3885 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7398, 3885 using Euclid's Algorithm?
Answer: For arbitrary numbers 7398, 3885 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.