Highest Common Factor of 7338, 2568 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 7338, 2568 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 7338, 2568 is 6 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 7338, 2568 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 7338, 2568 is 6.
HCF(7338, 2568) = 6
HCF of 7338, 2568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7338, 2568 is 6.
Highest Common Factor of 7338,2568 is 6
Step 1: Since 7338 > 2568, we apply the division lemma to 7338 and 2568, to get
7338 = 2568 x 2 + 2202
Step 2: Since the reminder 2568 ≠ 0, we apply division lemma to 2202 and 2568, to get
2568 = 2202 x 1 + 366
Step 3: We consider the new divisor 2202 and the new remainder 366, and apply the division lemma to get
2202 = 366 x 6 + 6
We consider the new divisor 366 and the new remainder 6, and apply the division lemma to get
366 = 6 x 61 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 7338 and 2568 is 6
Notice that 6 = HCF(366,6) = HCF(2202,366) = HCF(2568,2202) = HCF(7338,2568) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7338, 2568 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 7338, 2568?
Answer: HCF of 7338, 2568 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7338, 2568 using Euclid's Algorithm?
Answer: For arbitrary numbers 7338, 2568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.