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 425, 90397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 425, 90397 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 425, 90397 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 425, 90397 is 1.
HCF(425, 90397) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 425, 90397 is 1.
Step 1: Since 90397 > 425, we apply the division lemma to 90397 and 425, to get
90397 = 425 x 212 + 297
Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 297 and 425, to get
425 = 297 x 1 + 128
Step 3: We consider the new divisor 297 and the new remainder 128, and apply the division lemma to get
297 = 128 x 2 + 41
We consider the new divisor 128 and the new remainder 41,and apply the division lemma to get
128 = 41 x 3 + 5
We consider the new divisor 41 and the new remainder 5,and apply the division lemma to get
41 = 5 x 8 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 425 and 90397 is 1
Notice that 1 = HCF(5,1) = HCF(41,5) = HCF(128,41) = HCF(297,128) = HCF(425,297) = HCF(90397,425) .
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 425, 90397?
Answer: HCF of 425, 90397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 425, 90397 using Euclid's Algorithm?
Answer: For arbitrary numbers 425, 90397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.