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 3351, 3738 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3351, 3738 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 3351, 3738 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 3351, 3738 is 3.
HCF(3351, 3738) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3351, 3738 is 3.
Step 1: Since 3738 > 3351, we apply the division lemma to 3738 and 3351, to get
3738 = 3351 x 1 + 387
Step 2: Since the reminder 3351 ≠ 0, we apply division lemma to 387 and 3351, to get
3351 = 387 x 8 + 255
Step 3: We consider the new divisor 387 and the new remainder 255, and apply the division lemma to get
387 = 255 x 1 + 132
We consider the new divisor 255 and the new remainder 132,and apply the division lemma to get
255 = 132 x 1 + 123
We consider the new divisor 132 and the new remainder 123,and apply the division lemma to get
132 = 123 x 1 + 9
We consider the new divisor 123 and the new remainder 9,and apply the division lemma to get
123 = 9 x 13 + 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 3351 and 3738 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(123,9) = HCF(132,123) = HCF(255,132) = HCF(387,255) = HCF(3351,387) = HCF(3738,3351) .
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 3351, 3738?
Answer: HCF of 3351, 3738 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3351, 3738 using Euclid's Algorithm?
Answer: For arbitrary numbers 3351, 3738 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.