Highest Common Factor of 7440, 192 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 7440, 192 i.e. 48 the largest integer that leaves a remainder zero for all numbers.
HCF of 7440, 192 is 48 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 7440, 192 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 7440, 192 is 48.
HCF(7440, 192) = 48
HCF of 7440, 192 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7440, 192 is 48.
Highest Common Factor of 7440,192 is 48
Step 1: Since 7440 > 192, we apply the division lemma to 7440 and 192, to get
7440 = 192 x 38 + 144
Step 2: Since the reminder 192 ≠ 0, we apply division lemma to 144 and 192, to get
192 = 144 x 1 + 48
Step 3: We consider the new divisor 144 and the new remainder 48, and apply the division lemma to get
144 = 48 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 48, the HCF of 7440 and 192 is 48
Notice that 48 = HCF(144,48) = HCF(192,144) = HCF(7440,192) .
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Frequently Asked Questions on HCF of 7440, 192 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 7440, 192?
Answer: HCF of 7440, 192 is 48 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7440, 192 using Euclid's Algorithm?
Answer: For arbitrary numbers 7440, 192 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.