Highest Common Factor of 996, 5592 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 996, 5592 i.e. 12 the largest integer that leaves a remainder zero for all numbers.
HCF of 996, 5592 is 12 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 996, 5592 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 996, 5592 is 12.
HCF(996, 5592) = 12
HCF of 996, 5592 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 996, 5592 is 12.
Highest Common Factor of 996,5592 is 12
Step 1: Since 5592 > 996, we apply the division lemma to 5592 and 996, to get
5592 = 996 x 5 + 612
Step 2: Since the reminder 996 ≠ 0, we apply division lemma to 612 and 996, to get
996 = 612 x 1 + 384
Step 3: We consider the new divisor 612 and the new remainder 384, and apply the division lemma to get
612 = 384 x 1 + 228
We consider the new divisor 384 and the new remainder 228,and apply the division lemma to get
384 = 228 x 1 + 156
We consider the new divisor 228 and the new remainder 156,and apply the division lemma to get
228 = 156 x 1 + 72
We consider the new divisor 156 and the new remainder 72,and apply the division lemma to get
156 = 72 x 2 + 12
We consider the new divisor 72 and the new remainder 12,and apply the division lemma to get
72 = 12 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 12, the HCF of 996 and 5592 is 12
Notice that 12 = HCF(72,12) = HCF(156,72) = HCF(228,156) = HCF(384,228) = HCF(612,384) = HCF(996,612) = HCF(5592,996) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 996, 5592 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 996, 5592?
Answer: HCF of 996, 5592 is 12 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 996, 5592 using Euclid's Algorithm?
Answer: For arbitrary numbers 996, 5592 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.