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 3316, 6939 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3316, 6939 is 1 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 3316, 6939 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 3316, 6939 is 1.
HCF(3316, 6939) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3316, 6939 is 1.
Step 1: Since 6939 > 3316, we apply the division lemma to 6939 and 3316, to get
6939 = 3316 x 2 + 307
Step 2: Since the reminder 3316 ≠ 0, we apply division lemma to 307 and 3316, to get
3316 = 307 x 10 + 246
Step 3: We consider the new divisor 307 and the new remainder 246, and apply the division lemma to get
307 = 246 x 1 + 61
We consider the new divisor 246 and the new remainder 61,and apply the division lemma to get
246 = 61 x 4 + 2
We consider the new divisor 61 and the new remainder 2,and apply the division lemma to get
61 = 2 x 30 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3316 and 6939 is 1
Notice that 1 = HCF(2,1) = HCF(61,2) = HCF(246,61) = HCF(307,246) = HCF(3316,307) = HCF(6939,3316) .
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 3316, 6939?
Answer: HCF of 3316, 6939 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3316, 6939 using Euclid's Algorithm?
Answer: For arbitrary numbers 3316, 6939 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.