Highest Common Factor of 7099, 5552 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 7099, 5552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7099, 5552 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 7099, 5552 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 7099, 5552 is 1.
HCF(7099, 5552) = 1
HCF of 7099, 5552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7099, 5552 is 1.
Highest Common Factor of 7099,5552 is 1
Step 1: Since 7099 > 5552, we apply the division lemma to 7099 and 5552, to get
7099 = 5552 x 1 + 1547
Step 2: Since the reminder 5552 ≠ 0, we apply division lemma to 1547 and 5552, to get
5552 = 1547 x 3 + 911
Step 3: We consider the new divisor 1547 and the new remainder 911, and apply the division lemma to get
1547 = 911 x 1 + 636
We consider the new divisor 911 and the new remainder 636,and apply the division lemma to get
911 = 636 x 1 + 275
We consider the new divisor 636 and the new remainder 275,and apply the division lemma to get
636 = 275 x 2 + 86
We consider the new divisor 275 and the new remainder 86,and apply the division lemma to get
275 = 86 x 3 + 17
We consider the new divisor 86 and the new remainder 17,and apply the division lemma to get
86 = 17 x 5 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7099 and 5552 is 1
Notice that 1 = HCF(17,1) = HCF(86,17) = HCF(275,86) = HCF(636,275) = HCF(911,636) = HCF(1547,911) = HCF(5552,1547) = HCF(7099,5552) .
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Frequently Asked Questions on HCF of 7099, 5552 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 7099, 5552?
Answer: HCF of 7099, 5552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7099, 5552 using Euclid's Algorithm?
Answer: For arbitrary numbers 7099, 5552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.