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 5631, 3277 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5631, 3277 is 1 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 5631, 3277 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 5631, 3277 is 1.
HCF(5631, 3277) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5631, 3277 is 1.
Step 1: Since 5631 > 3277, we apply the division lemma to 5631 and 3277, to get
5631 = 3277 x 1 + 2354
Step 2: Since the reminder 3277 ≠ 0, we apply division lemma to 2354 and 3277, to get
3277 = 2354 x 1 + 923
Step 3: We consider the new divisor 2354 and the new remainder 923, and apply the division lemma to get
2354 = 923 x 2 + 508
We consider the new divisor 923 and the new remainder 508,and apply the division lemma to get
923 = 508 x 1 + 415
We consider the new divisor 508 and the new remainder 415,and apply the division lemma to get
508 = 415 x 1 + 93
We consider the new divisor 415 and the new remainder 93,and apply the division lemma to get
415 = 93 x 4 + 43
We consider the new divisor 93 and the new remainder 43,and apply the division lemma to get
93 = 43 x 2 + 7
We consider the new divisor 43 and the new remainder 7,and apply the division lemma to get
43 = 7 x 6 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5631 and 3277 is 1
Notice that 1 = HCF(7,1) = HCF(43,7) = HCF(93,43) = HCF(415,93) = HCF(508,415) = HCF(923,508) = HCF(2354,923) = HCF(3277,2354) = HCF(5631,3277) .
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 5631, 3277?
Answer: HCF of 5631, 3277 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5631, 3277 using Euclid's Algorithm?
Answer: For arbitrary numbers 5631, 3277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.