Highest Common Factor of 855, 74005 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 855, 74005 i.e. 95 the largest integer that leaves a remainder zero for all numbers.
HCF of 855, 74005 is 95 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 855, 74005 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 855, 74005 is 95.
HCF(855, 74005) = 95
HCF of 855, 74005 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 855, 74005 is 95.
Highest Common Factor of 855,74005 is 95
Step 1: Since 74005 > 855, we apply the division lemma to 74005 and 855, to get
74005 = 855 x 86 + 475
Step 2: Since the reminder 855 ≠ 0, we apply division lemma to 475 and 855, to get
855 = 475 x 1 + 380
Step 3: We consider the new divisor 475 and the new remainder 380, and apply the division lemma to get
475 = 380 x 1 + 95
We consider the new divisor 380 and the new remainder 95, and apply the division lemma to get
380 = 95 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 95, the HCF of 855 and 74005 is 95
Notice that 95 = HCF(380,95) = HCF(475,380) = HCF(855,475) = HCF(74005,855) .
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Frequently Asked Questions on HCF of 855, 74005 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 855, 74005?
Answer: HCF of 855, 74005 is 95 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 855, 74005 using Euclid's Algorithm?
Answer: For arbitrary numbers 855, 74005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
