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 9992, 6318 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9992, 6318 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 9992, 6318 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 9992, 6318 is 2.
HCF(9992, 6318) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9992, 6318 is 2.
Step 1: Since 9992 > 6318, we apply the division lemma to 9992 and 6318, to get
9992 = 6318 x 1 + 3674
Step 2: Since the reminder 6318 ≠ 0, we apply division lemma to 3674 and 6318, to get
6318 = 3674 x 1 + 2644
Step 3: We consider the new divisor 3674 and the new remainder 2644, and apply the division lemma to get
3674 = 2644 x 1 + 1030
We consider the new divisor 2644 and the new remainder 1030,and apply the division lemma to get
2644 = 1030 x 2 + 584
We consider the new divisor 1030 and the new remainder 584,and apply the division lemma to get
1030 = 584 x 1 + 446
We consider the new divisor 584 and the new remainder 446,and apply the division lemma to get
584 = 446 x 1 + 138
We consider the new divisor 446 and the new remainder 138,and apply the division lemma to get
446 = 138 x 3 + 32
We consider the new divisor 138 and the new remainder 32,and apply the division lemma to get
138 = 32 x 4 + 10
We consider the new divisor 32 and the new remainder 10,and apply the division lemma to get
32 = 10 x 3 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9992 and 6318 is 2
Notice that 2 = HCF(10,2) = HCF(32,10) = HCF(138,32) = HCF(446,138) = HCF(584,446) = HCF(1030,584) = HCF(2644,1030) = HCF(3674,2644) = HCF(6318,3674) = HCF(9992,6318) .
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 9992, 6318?
Answer: HCF of 9992, 6318 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9992, 6318 using Euclid's Algorithm?
Answer: For arbitrary numbers 9992, 6318 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.