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 785, 460 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 785, 460 is 5 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 785, 460 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 785, 460 is 5.
HCF(785, 460) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 785, 460 is 5.
Step 1: Since 785 > 460, we apply the division lemma to 785 and 460, to get
785 = 460 x 1 + 325
Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 325 and 460, to get
460 = 325 x 1 + 135
Step 3: We consider the new divisor 325 and the new remainder 135, and apply the division lemma to get
325 = 135 x 2 + 55
We consider the new divisor 135 and the new remainder 55,and apply the division lemma to get
135 = 55 x 2 + 25
We consider the new divisor 55 and the new remainder 25,and apply the division lemma to get
55 = 25 x 2 + 5
We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get
25 = 5 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 785 and 460 is 5
Notice that 5 = HCF(25,5) = HCF(55,25) = HCF(135,55) = HCF(325,135) = HCF(460,325) = HCF(785,460) .
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 785, 460?
Answer: HCF of 785, 460 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 785, 460 using Euclid's Algorithm?
Answer: For arbitrary numbers 785, 460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.