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 8892, 7445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8892, 7445 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 8892, 7445 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 8892, 7445 is 1.
HCF(8892, 7445) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8892, 7445 is 1.
Step 1: Since 8892 > 7445, we apply the division lemma to 8892 and 7445, to get
8892 = 7445 x 1 + 1447
Step 2: Since the reminder 7445 ≠ 0, we apply division lemma to 1447 and 7445, to get
7445 = 1447 x 5 + 210
Step 3: We consider the new divisor 1447 and the new remainder 210, and apply the division lemma to get
1447 = 210 x 6 + 187
We consider the new divisor 210 and the new remainder 187,and apply the division lemma to get
210 = 187 x 1 + 23
We consider the new divisor 187 and the new remainder 23,and apply the division lemma to get
187 = 23 x 8 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8892 and 7445 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(187,23) = HCF(210,187) = HCF(1447,210) = HCF(7445,1447) = HCF(8892,7445) .
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 8892, 7445?
Answer: HCF of 8892, 7445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8892, 7445 using Euclid's Algorithm?
Answer: For arbitrary numbers 8892, 7445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.