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 3812, 6025 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3812, 6025 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 3812, 6025 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 3812, 6025 is 1.
HCF(3812, 6025) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3812, 6025 is 1.
Step 1: Since 6025 > 3812, we apply the division lemma to 6025 and 3812, to get
6025 = 3812 x 1 + 2213
Step 2: Since the reminder 3812 ≠ 0, we apply division lemma to 2213 and 3812, to get
3812 = 2213 x 1 + 1599
Step 3: We consider the new divisor 2213 and the new remainder 1599, and apply the division lemma to get
2213 = 1599 x 1 + 614
We consider the new divisor 1599 and the new remainder 614,and apply the division lemma to get
1599 = 614 x 2 + 371
We consider the new divisor 614 and the new remainder 371,and apply the division lemma to get
614 = 371 x 1 + 243
We consider the new divisor 371 and the new remainder 243,and apply the division lemma to get
371 = 243 x 1 + 128
We consider the new divisor 243 and the new remainder 128,and apply the division lemma to get
243 = 128 x 1 + 115
We consider the new divisor 128 and the new remainder 115,and apply the division lemma to get
128 = 115 x 1 + 13
We consider the new divisor 115 and the new remainder 13,and apply the division lemma to get
115 = 13 x 8 + 11
We consider the new divisor 13 and the new remainder 11,and apply the division lemma to get
13 = 11 x 1 + 2
We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get
11 = 2 x 5 + 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 3812 and 6025 is 1
Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(13,11) = HCF(115,13) = HCF(128,115) = HCF(243,128) = HCF(371,243) = HCF(614,371) = HCF(1599,614) = HCF(2213,1599) = HCF(3812,2213) = HCF(6025,3812) .
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 3812, 6025?
Answer: HCF of 3812, 6025 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3812, 6025 using Euclid's Algorithm?
Answer: For arbitrary numbers 3812, 6025 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.