Highest Common Factor of 7004, 1236 using Euclid's algorithm
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 7004, 1236 i.e. 412 the largest integer that leaves a remainder zero for all numbers.
HCF of 7004, 1236 is 412 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 7004, 1236 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 7004, 1236 is 412.
HCF(7004, 1236) = 412
HCF of 7004, 1236 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7004, 1236 is 412.
Highest Common Factor of 7004,1236 is 412
Step 1: Since 7004 > 1236, we apply the division lemma to 7004 and 1236, to get
7004 = 1236 x 5 + 824
Step 2: Since the reminder 1236 ≠ 0, we apply division lemma to 824 and 1236, to get
1236 = 824 x 1 + 412
Step 3: We consider the new divisor 824 and the new remainder 412, and apply the division lemma to get
824 = 412 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 412, the HCF of 7004 and 1236 is 412
Notice that 412 = HCF(824,412) = HCF(1236,824) = HCF(7004,1236) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7004, 1236 using Euclid's Algorithm
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 7004, 1236?
Answer: HCF of 7004, 1236 is 412 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7004, 1236 using Euclid's Algorithm?
Answer: For arbitrary numbers 7004, 1236 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.