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 3274, 5548 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 3274, 5548 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 3274, 5548 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 3274, 5548 is 2.
HCF(3274, 5548) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3274, 5548 is 2.
Step 1: Since 5548 > 3274, we apply the division lemma to 5548 and 3274, to get
5548 = 3274 x 1 + 2274
Step 2: Since the reminder 3274 ≠ 0, we apply division lemma to 2274 and 3274, to get
3274 = 2274 x 1 + 1000
Step 3: We consider the new divisor 2274 and the new remainder 1000, and apply the division lemma to get
2274 = 1000 x 2 + 274
We consider the new divisor 1000 and the new remainder 274,and apply the division lemma to get
1000 = 274 x 3 + 178
We consider the new divisor 274 and the new remainder 178,and apply the division lemma to get
274 = 178 x 1 + 96
We consider the new divisor 178 and the new remainder 96,and apply the division lemma to get
178 = 96 x 1 + 82
We consider the new divisor 96 and the new remainder 82,and apply the division lemma to get
96 = 82 x 1 + 14
We consider the new divisor 82 and the new remainder 14,and apply the division lemma to get
82 = 14 x 5 + 12
We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get
14 = 12 x 1 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 3274 and 5548 is 2
Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(82,14) = HCF(96,82) = HCF(178,96) = HCF(274,178) = HCF(1000,274) = HCF(2274,1000) = HCF(3274,2274) = HCF(5548,3274) .
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 3274, 5548?
Answer: HCF of 3274, 5548 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3274, 5548 using Euclid's Algorithm?
Answer: For arbitrary numbers 3274, 5548 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.