Highest Common Factor of 5512, 7445 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 5512, 7445 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5512, 7445 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, 7445 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, 7445 is 1.
HCF(5512, 7445) = 1
HCF of 5512, 7445 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5512, 7445 is 1.
Highest Common Factor of 5512,7445 is 1
Step 1: Since 7445 > 5512, we apply the division lemma to 7445 and 5512, to get
7445 = 5512 x 1 + 1933
Step 2: Since the reminder 5512 ≠ 0, we apply division lemma to 1933 and 5512, to get
5512 = 1933 x 2 + 1646
Step 3: We consider the new divisor 1933 and the new remainder 1646, and apply the division lemma to get
1933 = 1646 x 1 + 287
We consider the new divisor 1646 and the new remainder 287,and apply the division lemma to get
1646 = 287 x 5 + 211
We consider the new divisor 287 and the new remainder 211,and apply the division lemma to get
287 = 211 x 1 + 76
We consider the new divisor 211 and the new remainder 76,and apply the division lemma to get
211 = 76 x 2 + 59
We consider the new divisor 76 and the new remainder 59,and apply the division lemma to get
76 = 59 x 1 + 17
We consider the new divisor 59 and the new remainder 17,and apply the division lemma to get
59 = 17 x 3 + 8
We consider the new divisor 17 and the new remainder 8,and apply the division lemma to get
17 = 8 x 2 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5512 and 7445 is 1
Notice that 1 = HCF(8,1) = HCF(17,8) = HCF(59,17) = HCF(76,59) = HCF(211,76) = HCF(287,211) = HCF(1646,287) = HCF(1933,1646) = HCF(5512,1933) = HCF(7445,5512) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 5512, 7445 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 5512, 7445?
Answer: HCF of 5512, 7445 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5512, 7445 using Euclid's Algorithm?
Answer: For arbitrary numbers 5512, 7445 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
