Highest Common Factor of 2235, 5085 using Euclid's algorithm
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 2235, 5085 i.e. 15 the largest integer that leaves a remainder zero for all numbers.
HCF of 2235, 5085 is 15 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 2235, 5085 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 2235, 5085 is 15.
HCF(2235, 5085) = 15
HCF of 2235, 5085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2235, 5085 is 15.
Highest Common Factor of 2235,5085 is 15
Step 1: Since 5085 > 2235, we apply the division lemma to 5085 and 2235, to get
5085 = 2235 x 2 + 615
Step 2: Since the reminder 2235 ≠ 0, we apply division lemma to 615 and 2235, to get
2235 = 615 x 3 + 390
Step 3: We consider the new divisor 615 and the new remainder 390, and apply the division lemma to get
615 = 390 x 1 + 225
We consider the new divisor 390 and the new remainder 225,and apply the division lemma to get
390 = 225 x 1 + 165
We consider the new divisor 225 and the new remainder 165,and apply the division lemma to get
225 = 165 x 1 + 60
We consider the new divisor 165 and the new remainder 60,and apply the division lemma to get
165 = 60 x 2 + 45
We consider the new divisor 60 and the new remainder 45,and apply the division lemma to get
60 = 45 x 1 + 15
We consider the new divisor 45 and the new remainder 15,and apply the division lemma to get
45 = 15 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 15, the HCF of 2235 and 5085 is 15
Notice that 15 = HCF(45,15) = HCF(60,45) = HCF(165,60) = HCF(225,165) = HCF(390,225) = HCF(615,390) = HCF(2235,615) = HCF(5085,2235) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 2235, 5085 using Euclid's Algorithm
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 2235, 5085?
Answer: HCF of 2235, 5085 is 15 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2235, 5085 using Euclid's Algorithm?
Answer: For arbitrary numbers 2235, 5085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.