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 7208, 8921 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7208, 8921 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 7208, 8921 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 7208, 8921 is 1.
HCF(7208, 8921) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7208, 8921 is 1.
Step 1: Since 8921 > 7208, we apply the division lemma to 8921 and 7208, to get
8921 = 7208 x 1 + 1713
Step 2: Since the reminder 7208 ≠ 0, we apply division lemma to 1713 and 7208, to get
7208 = 1713 x 4 + 356
Step 3: We consider the new divisor 1713 and the new remainder 356, and apply the division lemma to get
1713 = 356 x 4 + 289
We consider the new divisor 356 and the new remainder 289,and apply the division lemma to get
356 = 289 x 1 + 67
We consider the new divisor 289 and the new remainder 67,and apply the division lemma to get
289 = 67 x 4 + 21
We consider the new divisor 67 and the new remainder 21,and apply the division lemma to get
67 = 21 x 3 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7208 and 8921 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(289,67) = HCF(356,289) = HCF(1713,356) = HCF(7208,1713) = HCF(8921,7208) .
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 7208, 8921?
Answer: HCF of 7208, 8921 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7208, 8921 using Euclid's Algorithm?
Answer: For arbitrary numbers 7208, 8921 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.