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 7999, 8890 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7999, 8890 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 7999, 8890 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 7999, 8890 is 1.
HCF(7999, 8890) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7999, 8890 is 1.
Step 1: Since 8890 > 7999, we apply the division lemma to 8890 and 7999, to get
8890 = 7999 x 1 + 891
Step 2: Since the reminder 7999 ≠ 0, we apply division lemma to 891 and 7999, to get
7999 = 891 x 8 + 871
Step 3: We consider the new divisor 891 and the new remainder 871, and apply the division lemma to get
891 = 871 x 1 + 20
We consider the new divisor 871 and the new remainder 20,and apply the division lemma to get
871 = 20 x 43 + 11
We consider the new divisor 20 and the new remainder 11,and apply the division lemma to get
20 = 11 x 1 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 7999 and 8890 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(20,11) = HCF(871,20) = HCF(891,871) = HCF(7999,891) = HCF(8890,7999) .
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 7999, 8890?
Answer: HCF of 7999, 8890 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7999, 8890 using Euclid's Algorithm?
Answer: For arbitrary numbers 7999, 8890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.