Highest Common Factor of 2255, 8085 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 2255, 8085 i.e. 55 the largest integer that leaves a remainder zero for all numbers.
HCF of 2255, 8085 is 55 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 2255, 8085 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 2255, 8085 is 55.
HCF(2255, 8085) = 55
HCF of 2255, 8085 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2255, 8085 is 55.
Highest Common Factor of 2255,8085 is 55
Step 1: Since 8085 > 2255, we apply the division lemma to 8085 and 2255, to get
8085 = 2255 x 3 + 1320
Step 2: Since the reminder 2255 ≠ 0, we apply division lemma to 1320 and 2255, to get
2255 = 1320 x 1 + 935
Step 3: We consider the new divisor 1320 and the new remainder 935, and apply the division lemma to get
1320 = 935 x 1 + 385
We consider the new divisor 935 and the new remainder 385,and apply the division lemma to get
935 = 385 x 2 + 165
We consider the new divisor 385 and the new remainder 165,and apply the division lemma to get
385 = 165 x 2 + 55
We consider the new divisor 165 and the new remainder 55,and apply the division lemma to get
165 = 55 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 55, the HCF of 2255 and 8085 is 55
Notice that 55 = HCF(165,55) = HCF(385,165) = HCF(935,385) = HCF(1320,935) = HCF(2255,1320) = HCF(8085,2255) .
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Frequently Asked Questions on HCF of 2255, 8085 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 2255, 8085?
Answer: HCF of 2255, 8085 is 55 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2255, 8085 using Euclid's Algorithm?
Answer: For arbitrary numbers 2255, 8085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.