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 3357, 8007 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3357, 8007 is 3 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 3357, 8007 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 3357, 8007 is 3.
HCF(3357, 8007) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3357, 8007 is 3.
Step 1: Since 8007 > 3357, we apply the division lemma to 8007 and 3357, to get
8007 = 3357 x 2 + 1293
Step 2: Since the reminder 3357 ≠ 0, we apply division lemma to 1293 and 3357, to get
3357 = 1293 x 2 + 771
Step 3: We consider the new divisor 1293 and the new remainder 771, and apply the division lemma to get
1293 = 771 x 1 + 522
We consider the new divisor 771 and the new remainder 522,and apply the division lemma to get
771 = 522 x 1 + 249
We consider the new divisor 522 and the new remainder 249,and apply the division lemma to get
522 = 249 x 2 + 24
We consider the new divisor 249 and the new remainder 24,and apply the division lemma to get
249 = 24 x 10 + 9
We consider the new divisor 24 and the new remainder 9,and apply the division lemma to get
24 = 9 x 2 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3357 and 8007 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(24,9) = HCF(249,24) = HCF(522,249) = HCF(771,522) = HCF(1293,771) = HCF(3357,1293) = HCF(8007,3357) .
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 3357, 8007?
Answer: HCF of 3357, 8007 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3357, 8007 using Euclid's Algorithm?
Answer: For arbitrary numbers 3357, 8007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.