Highest Common Factor of 850, 721, 553 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 850, 721, 553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 850, 721, 553 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 850, 721, 553 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 850, 721, 553 is 1.
HCF(850, 721, 553) = 1
HCF of 850, 721, 553 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 850, 721, 553 is 1.
Highest Common Factor of 850,721,553 is 1
Step 1: Since 850 > 721, we apply the division lemma to 850 and 721, to get
850 = 721 x 1 + 129
Step 2: Since the reminder 721 ≠ 0, we apply division lemma to 129 and 721, to get
721 = 129 x 5 + 76
Step 3: We consider the new divisor 129 and the new remainder 76, and apply the division lemma to get
129 = 76 x 1 + 53
We consider the new divisor 76 and the new remainder 53,and apply the division lemma to get
76 = 53 x 1 + 23
We consider the new divisor 53 and the new remainder 23,and apply the division lemma to get
53 = 23 x 2 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 850 and 721 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(53,23) = HCF(76,53) = HCF(129,76) = HCF(721,129) = HCF(850,721) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 553 > 1, we apply the division lemma to 553 and 1, to get
553 = 1 x 553 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 553 is 1
Notice that 1 = HCF(553,1) .
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Frequently Asked Questions on HCF of 850, 721, 553 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 850, 721, 553?
Answer: HCF of 850, 721, 553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 850, 721, 553 using Euclid's Algorithm?
Answer: For arbitrary numbers 850, 721, 553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.