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 7404, 7438 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7404, 7438 is 2 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 7404, 7438 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 7404, 7438 is 2.
HCF(7404, 7438) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7404, 7438 is 2.
Step 1: Since 7438 > 7404, we apply the division lemma to 7438 and 7404, to get
7438 = 7404 x 1 + 34
Step 2: Since the reminder 7404 ≠ 0, we apply division lemma to 34 and 7404, to get
7404 = 34 x 217 + 26
Step 3: We consider the new divisor 34 and the new remainder 26, and apply the division lemma to get
34 = 26 x 1 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7404 and 7438 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(34,26) = HCF(7404,34) = HCF(7438,7404) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 7404, 7438?
Answer: HCF of 7404, 7438 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7404, 7438 using Euclid's Algorithm?
Answer: For arbitrary numbers 7404, 7438 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.