Highest Common Factor of 2026, 6870 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 2026, 6870 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 2026, 6870 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 2026, 6870 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 2026, 6870 is 2.
HCF(2026, 6870) = 2
HCF of 2026, 6870 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2026, 6870 is 2.
Highest Common Factor of 2026,6870 is 2
Step 1: Since 6870 > 2026, we apply the division lemma to 6870 and 2026, to get
6870 = 2026 x 3 + 792
Step 2: Since the reminder 2026 ≠ 0, we apply division lemma to 792 and 2026, to get
2026 = 792 x 2 + 442
Step 3: We consider the new divisor 792 and the new remainder 442, and apply the division lemma to get
792 = 442 x 1 + 350
We consider the new divisor 442 and the new remainder 350,and apply the division lemma to get
442 = 350 x 1 + 92
We consider the new divisor 350 and the new remainder 92,and apply the division lemma to get
350 = 92 x 3 + 74
We consider the new divisor 92 and the new remainder 74,and apply the division lemma to get
92 = 74 x 1 + 18
We consider the new divisor 74 and the new remainder 18,and apply the division lemma to get
74 = 18 x 4 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2026 and 6870 is 2
Notice that 2 = HCF(18,2) = HCF(74,18) = HCF(92,74) = HCF(350,92) = HCF(442,350) = HCF(792,442) = HCF(2026,792) = HCF(6870,2026) .
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Frequently Asked Questions on HCF of 2026, 6870 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 2026, 6870?
Answer: HCF of 2026, 6870 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2026, 6870 using Euclid's Algorithm?
Answer: For arbitrary numbers 2026, 6870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.