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 7825, 5155 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7825, 5155 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 7825, 5155 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 7825, 5155 is 5.
HCF(7825, 5155) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7825, 5155 is 5.
Step 1: Since 7825 > 5155, we apply the division lemma to 7825 and 5155, to get
7825 = 5155 x 1 + 2670
Step 2: Since the reminder 5155 ≠ 0, we apply division lemma to 2670 and 5155, to get
5155 = 2670 x 1 + 2485
Step 3: We consider the new divisor 2670 and the new remainder 2485, and apply the division lemma to get
2670 = 2485 x 1 + 185
We consider the new divisor 2485 and the new remainder 185,and apply the division lemma to get
2485 = 185 x 13 + 80
We consider the new divisor 185 and the new remainder 80,and apply the division lemma to get
185 = 80 x 2 + 25
We consider the new divisor 80 and the new remainder 25,and apply the division lemma to get
80 = 25 x 3 + 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 7825 and 5155 is 5
Notice that 5 = HCF(25,5) = HCF(80,25) = HCF(185,80) = HCF(2485,185) = HCF(2670,2485) = HCF(5155,2670) = HCF(7825,5155) .
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 7825, 5155?
Answer: HCF of 7825, 5155 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7825, 5155 using Euclid's Algorithm?
Answer: For arbitrary numbers 7825, 5155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.