Highest Common Factor of 9888, 768 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 9888, 768 i.e. 96 the largest integer that leaves a remainder zero for all numbers.
HCF of 9888, 768 is 96 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 9888, 768 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 9888, 768 is 96.
HCF(9888, 768) = 96
HCF of 9888, 768 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9888, 768 is 96.
Highest Common Factor of 9888,768 is 96
Step 1: Since 9888 > 768, we apply the division lemma to 9888 and 768, to get
9888 = 768 x 12 + 672
Step 2: Since the reminder 768 ≠ 0, we apply division lemma to 672 and 768, to get
768 = 672 x 1 + 96
Step 3: We consider the new divisor 672 and the new remainder 96, and apply the division lemma to get
672 = 96 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 96, the HCF of 9888 and 768 is 96
Notice that 96 = HCF(672,96) = HCF(768,672) = HCF(9888,768) .
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Frequently Asked Questions on HCF of 9888, 768 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 9888, 768?
Answer: HCF of 9888, 768 is 96 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9888, 768 using Euclid's Algorithm?
Answer: For arbitrary numbers 9888, 768 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.