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 9876, 8024 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 9876, 8024 is 4 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 9876, 8024 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 9876, 8024 is 4.
HCF(9876, 8024) = 4
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9876, 8024 is 4.
Step 1: Since 9876 > 8024, we apply the division lemma to 9876 and 8024, to get
9876 = 8024 x 1 + 1852
Step 2: Since the reminder 8024 ≠ 0, we apply division lemma to 1852 and 8024, to get
8024 = 1852 x 4 + 616
Step 3: We consider the new divisor 1852 and the new remainder 616, and apply the division lemma to get
1852 = 616 x 3 + 4
We consider the new divisor 616 and the new remainder 4, and apply the division lemma to get
616 = 4 x 154 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 9876 and 8024 is 4
Notice that 4 = HCF(616,4) = HCF(1852,616) = HCF(8024,1852) = HCF(9876,8024) .
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 9876, 8024?
Answer: HCF of 9876, 8024 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9876, 8024 using Euclid's Algorithm?
Answer: For arbitrary numbers 9876, 8024 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.