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, 2230 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 7825, 2230 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, 2230 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, 2230 is 5.
HCF(7825, 2230) = 5
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7825, 2230 is 5.
Step 1: Since 7825 > 2230, we apply the division lemma to 7825 and 2230, to get
7825 = 2230 x 3 + 1135
Step 2: Since the reminder 2230 ≠ 0, we apply division lemma to 1135 and 2230, to get
2230 = 1135 x 1 + 1095
Step 3: We consider the new divisor 1135 and the new remainder 1095, and apply the division lemma to get
1135 = 1095 x 1 + 40
We consider the new divisor 1095 and the new remainder 40,and apply the division lemma to get
1095 = 40 x 27 + 15
We consider the new divisor 40 and the new remainder 15,and apply the division lemma to get
40 = 15 x 2 + 10
We consider the new divisor 15 and the new remainder 10,and apply the division lemma to get
15 = 10 x 1 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 7825 and 2230 is 5
Notice that 5 = HCF(10,5) = HCF(15,10) = HCF(40,15) = HCF(1095,40) = HCF(1135,1095) = HCF(2230,1135) = HCF(7825,2230) .
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, 2230?
Answer: HCF of 7825, 2230 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7825, 2230 using Euclid's Algorithm?
Answer: For arbitrary numbers 7825, 2230 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.