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 685, 925, 955 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 685, 925, 955 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 685, 925, 955 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 685, 925, 955 is 5.
HCF(685, 925, 955) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 685, 925, 955 is 5.
Step 1: Since 925 > 685, we apply the division lemma to 925 and 685, to get
925 = 685 x 1 + 240
Step 2: Since the reminder 685 ≠ 0, we apply division lemma to 240 and 685, to get
685 = 240 x 2 + 205
Step 3: We consider the new divisor 240 and the new remainder 205, and apply the division lemma to get
240 = 205 x 1 + 35
We consider the new divisor 205 and the new remainder 35,and apply the division lemma to get
205 = 35 x 5 + 30
We consider the new divisor 35 and the new remainder 30,and apply the division lemma to get
35 = 30 x 1 + 5
We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get
30 = 5 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 685 and 925 is 5
Notice that 5 = HCF(30,5) = HCF(35,30) = HCF(205,35) = HCF(240,205) = HCF(685,240) = HCF(925,685) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 955 > 5, we apply the division lemma to 955 and 5, to get
955 = 5 x 191 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 5 and 955 is 5
Notice that 5 = HCF(955,5) .
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 685, 925, 955?
Answer: HCF of 685, 925, 955 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 685, 925, 955 using Euclid's Algorithm?
Answer: For arbitrary numbers 685, 925, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.