Highest Common Factor of 850, 2508, 3105 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 850, 2508, 3105 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 2508, 3105 is 1 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 850, 2508, 3105 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 850, 2508, 3105 is 1.
HCF(850, 2508, 3105) = 1
HCF of 850, 2508, 3105 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 2508, 3105 is 1.
Highest Common Factor of 850,2508,3105 is 1
Step 1: Since 2508 > 850, we apply the division lemma to 2508 and 850, to get
2508 = 850 x 2 + 808
Step 2: Since the reminder 850 ≠ 0, we apply division lemma to 808 and 850, to get
850 = 808 x 1 + 42
Step 3: We consider the new divisor 808 and the new remainder 42, and apply the division lemma to get
808 = 42 x 19 + 10
We consider the new divisor 42 and the new remainder 10,and apply the division lemma to get
42 = 10 x 4 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 850 and 2508 is 2
Notice that 2 = HCF(10,2) = HCF(42,10) = HCF(808,42) = HCF(850,808) = HCF(2508,850) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 3105 > 2, we apply the division lemma to 3105 and 2, to get
3105 = 2 x 1552 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 3105 is 1
Notice that 1 = HCF(2,1) = HCF(3105,2) .
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Frequently Asked Questions on HCF of 850, 2508, 3105 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 850, 2508, 3105?
Answer: HCF of 850, 2508, 3105 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 2508, 3105 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 2508, 3105 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.