Highest Common Factor of 836, 470, 870 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 836, 470, 870 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 836, 470, 870 is 2 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 836, 470, 870 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 836, 470, 870 is 2.
HCF(836, 470, 870) = 2
HCF of 836, 470, 870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 836, 470, 870 is 2.
Highest Common Factor of 836,470,870 is 2
Step 1: Since 836 > 470, we apply the division lemma to 836 and 470, to get
836 = 470 x 1 + 366
Step 2: Since the reminder 470 ≠ 0, we apply division lemma to 366 and 470, to get
470 = 366 x 1 + 104
Step 3: We consider the new divisor 366 and the new remainder 104, and apply the division lemma to get
366 = 104 x 3 + 54
We consider the new divisor 104 and the new remainder 54,and apply the division lemma to get
104 = 54 x 1 + 50
We consider the new divisor 54 and the new remainder 50,and apply the division lemma to get
54 = 50 x 1 + 4
We consider the new divisor 50 and the new remainder 4,and apply the division lemma to get
50 = 4 x 12 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 836 and 470 is 2
Notice that 2 = HCF(4,2) = HCF(50,4) = HCF(54,50) = HCF(104,54) = HCF(366,104) = HCF(470,366) = HCF(836,470) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 870 > 2, we apply the division lemma to 870 and 2, to get
870 = 2 x 435 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 870 is 2
Notice that 2 = HCF(870,2) .
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Frequently Asked Questions on HCF of 836, 470, 870 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 836, 470, 870?
Answer: HCF of 836, 470, 870 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 836, 470, 870 using Euclid's Algorithm?
Answer: For arbitrary numbers 836, 470, 870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.