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 7189, 7850 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7189, 7850 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 7189, 7850 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 7189, 7850 is 1.
HCF(7189, 7850) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7189, 7850 is 1.
Step 1: Since 7850 > 7189, we apply the division lemma to 7850 and 7189, to get
7850 = 7189 x 1 + 661
Step 2: Since the reminder 7189 ≠ 0, we apply division lemma to 661 and 7189, to get
7189 = 661 x 10 + 579
Step 3: We consider the new divisor 661 and the new remainder 579, and apply the division lemma to get
661 = 579 x 1 + 82
We consider the new divisor 579 and the new remainder 82,and apply the division lemma to get
579 = 82 x 7 + 5
We consider the new divisor 82 and the new remainder 5,and apply the division lemma to get
82 = 5 x 16 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 7189 and 7850 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(82,5) = HCF(579,82) = HCF(661,579) = HCF(7189,661) = HCF(7850,7189) .
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 7189, 7850?
Answer: HCF of 7189, 7850 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7189, 7850 using Euclid's Algorithm?
Answer: For arbitrary numbers 7189, 7850 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.