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 7812, 2803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7812, 2803 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 7812, 2803 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 7812, 2803 is 1.
HCF(7812, 2803) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7812, 2803 is 1.
Step 1: Since 7812 > 2803, we apply the division lemma to 7812 and 2803, to get
7812 = 2803 x 2 + 2206
Step 2: Since the reminder 2803 ≠ 0, we apply division lemma to 2206 and 2803, to get
2803 = 2206 x 1 + 597
Step 3: We consider the new divisor 2206 and the new remainder 597, and apply the division lemma to get
2206 = 597 x 3 + 415
We consider the new divisor 597 and the new remainder 415,and apply the division lemma to get
597 = 415 x 1 + 182
We consider the new divisor 415 and the new remainder 182,and apply the division lemma to get
415 = 182 x 2 + 51
We consider the new divisor 182 and the new remainder 51,and apply the division lemma to get
182 = 51 x 3 + 29
We consider the new divisor 51 and the new remainder 29,and apply the division lemma to get
51 = 29 x 1 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7812 and 2803 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(51,29) = HCF(182,51) = HCF(415,182) = HCF(597,415) = HCF(2206,597) = HCF(2803,2206) = HCF(7812,2803) .
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 7812, 2803?
Answer: HCF of 7812, 2803 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7812, 2803 using Euclid's Algorithm?
Answer: For arbitrary numbers 7812, 2803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.