Highest Common Factor of 7049, 550 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 7049, 550 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7049, 550 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 7049, 550 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 7049, 550 is 1.
HCF(7049, 550) = 1
HCF of 7049, 550 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7049, 550 is 1.
Highest Common Factor of 7049,550 is 1
Step 1: Since 7049 > 550, we apply the division lemma to 7049 and 550, to get
7049 = 550 x 12 + 449
Step 2: Since the reminder 550 ≠ 0, we apply division lemma to 449 and 550, to get
550 = 449 x 1 + 101
Step 3: We consider the new divisor 449 and the new remainder 101, and apply the division lemma to get
449 = 101 x 4 + 45
We consider the new divisor 101 and the new remainder 45,and apply the division lemma to get
101 = 45 x 2 + 11
We consider the new divisor 45 and the new remainder 11,and apply the division lemma to get
45 = 11 x 4 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7049 and 550 is 1
Notice that 1 = HCF(11,1) = HCF(45,11) = HCF(101,45) = HCF(449,101) = HCF(550,449) = HCF(7049,550) .
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Frequently Asked Questions on HCF of 7049, 550 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 7049, 550?
Answer: HCF of 7049, 550 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7049, 550 using Euclid's Algorithm?
Answer: For arbitrary numbers 7049, 550 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.