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 5512, 4255 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5512, 4255 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 5512, 4255 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 5512, 4255 is 1.
HCF(5512, 4255) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5512, 4255 is 1.
Step 1: Since 5512 > 4255, we apply the division lemma to 5512 and 4255, to get
5512 = 4255 x 1 + 1257
Step 2: Since the reminder 4255 ≠ 0, we apply division lemma to 1257 and 4255, to get
4255 = 1257 x 3 + 484
Step 3: We consider the new divisor 1257 and the new remainder 484, and apply the division lemma to get
1257 = 484 x 2 + 289
We consider the new divisor 484 and the new remainder 289,and apply the division lemma to get
484 = 289 x 1 + 195
We consider the new divisor 289 and the new remainder 195,and apply the division lemma to get
289 = 195 x 1 + 94
We consider the new divisor 195 and the new remainder 94,and apply the division lemma to get
195 = 94 x 2 + 7
We consider the new divisor 94 and the new remainder 7,and apply the division lemma to get
94 = 7 x 13 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5512 and 4255 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(94,7) = HCF(195,94) = HCF(289,195) = HCF(484,289) = HCF(1257,484) = HCF(4255,1257) = HCF(5512,4255) .
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 5512, 4255?
Answer: HCF of 5512, 4255 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5512, 4255 using Euclid's Algorithm?
Answer: For arbitrary numbers 5512, 4255 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.