Highest Common Factor of 1992, 7296 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 1992, 7296 i.e. 24 the largest integer that leaves a remainder zero for all numbers.
HCF of 1992, 7296 is 24 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 1992, 7296 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 1992, 7296 is 24.
HCF(1992, 7296) = 24
HCF of 1992, 7296 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1992, 7296 is 24.
Highest Common Factor of 1992,7296 is 24
Step 1: Since 7296 > 1992, we apply the division lemma to 7296 and 1992, to get
7296 = 1992 x 3 + 1320
Step 2: Since the reminder 1992 ≠ 0, we apply division lemma to 1320 and 1992, to get
1992 = 1320 x 1 + 672
Step 3: We consider the new divisor 1320 and the new remainder 672, and apply the division lemma to get
1320 = 672 x 1 + 648
We consider the new divisor 672 and the new remainder 648,and apply the division lemma to get
672 = 648 x 1 + 24
We consider the new divisor 648 and the new remainder 24,and apply the division lemma to get
648 = 24 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 24, the HCF of 1992 and 7296 is 24
Notice that 24 = HCF(648,24) = HCF(672,648) = HCF(1320,672) = HCF(1992,1320) = HCF(7296,1992) .
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Frequently Asked Questions on HCF of 1992, 7296 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 1992, 7296?
Answer: HCF of 1992, 7296 is 24 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1992, 7296 using Euclid's Algorithm?
Answer: For arbitrary numbers 1992, 7296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.