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 9625, 1854 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9625, 1854 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 9625, 1854 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 9625, 1854 is 1.
HCF(9625, 1854) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9625, 1854 is 1.
Step 1: Since 9625 > 1854, we apply the division lemma to 9625 and 1854, to get
9625 = 1854 x 5 + 355
Step 2: Since the reminder 1854 ≠ 0, we apply division lemma to 355 and 1854, to get
1854 = 355 x 5 + 79
Step 3: We consider the new divisor 355 and the new remainder 79, and apply the division lemma to get
355 = 79 x 4 + 39
We consider the new divisor 79 and the new remainder 39,and apply the division lemma to get
79 = 39 x 2 + 1
We consider the new divisor 39 and the new remainder 1,and apply the division lemma to get
39 = 1 x 39 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9625 and 1854 is 1
Notice that 1 = HCF(39,1) = HCF(79,39) = HCF(355,79) = HCF(1854,355) = HCF(9625,1854) .
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 9625, 1854?
Answer: HCF of 9625, 1854 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9625, 1854 using Euclid's Algorithm?
Answer: For arbitrary numbers 9625, 1854 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.