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 5486, 3344 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5486, 3344 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 5486, 3344 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 5486, 3344 is 2.
HCF(5486, 3344) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5486, 3344 is 2.
Step 1: Since 5486 > 3344, we apply the division lemma to 5486 and 3344, to get
5486 = 3344 x 1 + 2142
Step 2: Since the reminder 3344 ≠ 0, we apply division lemma to 2142 and 3344, to get
3344 = 2142 x 1 + 1202
Step 3: We consider the new divisor 2142 and the new remainder 1202, and apply the division lemma to get
2142 = 1202 x 1 + 940
We consider the new divisor 1202 and the new remainder 940,and apply the division lemma to get
1202 = 940 x 1 + 262
We consider the new divisor 940 and the new remainder 262,and apply the division lemma to get
940 = 262 x 3 + 154
We consider the new divisor 262 and the new remainder 154,and apply the division lemma to get
262 = 154 x 1 + 108
We consider the new divisor 154 and the new remainder 108,and apply the division lemma to get
154 = 108 x 1 + 46
We consider the new divisor 108 and the new remainder 46,and apply the division lemma to get
108 = 46 x 2 + 16
We consider the new divisor 46 and the new remainder 16,and apply the division lemma to get
46 = 16 x 2 + 14
We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get
16 = 14 x 1 + 2
We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5486 and 3344 is 2
Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(46,16) = HCF(108,46) = HCF(154,108) = HCF(262,154) = HCF(940,262) = HCF(1202,940) = HCF(2142,1202) = HCF(3344,2142) = HCF(5486,3344) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 5486, 3344?
Answer: HCF of 5486, 3344 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5486, 3344 using Euclid's Algorithm?
Answer: For arbitrary numbers 5486, 3344 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.