Highest Common Factor of 6890, 5984 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 6890, 5984 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6890, 5984 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 6890, 5984 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 6890, 5984 is 2.
HCF(6890, 5984) = 2
HCF of 6890, 5984 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6890, 5984 is 2.
Highest Common Factor of 6890,5984 is 2
Step 1: Since 6890 > 5984, we apply the division lemma to 6890 and 5984, to get
6890 = 5984 x 1 + 906
Step 2: Since the reminder 5984 ≠ 0, we apply division lemma to 906 and 5984, to get
5984 = 906 x 6 + 548
Step 3: We consider the new divisor 906 and the new remainder 548, and apply the division lemma to get
906 = 548 x 1 + 358
We consider the new divisor 548 and the new remainder 358,and apply the division lemma to get
548 = 358 x 1 + 190
We consider the new divisor 358 and the new remainder 190,and apply the division lemma to get
358 = 190 x 1 + 168
We consider the new divisor 190 and the new remainder 168,and apply the division lemma to get
190 = 168 x 1 + 22
We consider the new divisor 168 and the new remainder 22,and apply the division lemma to get
168 = 22 x 7 + 14
We consider the new divisor 22 and the new remainder 14,and apply the division lemma to get
22 = 14 x 1 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6890 and 5984 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(22,14) = HCF(168,22) = HCF(190,168) = HCF(358,190) = HCF(548,358) = HCF(906,548) = HCF(5984,906) = HCF(6890,5984) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 6890, 5984 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 6890, 5984?
Answer: HCF of 6890, 5984 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6890, 5984 using Euclid's Algorithm?
Answer: For arbitrary numbers 6890, 5984 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.