Highest Common Factor of 771, 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 771, 553 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 771, 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 771, 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 771, 553 is 1.
HCF(771, 553) = 1
HCF of 771, 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 771, 553 is 1.
Highest Common Factor of 771,553 is 1
Step 1: Since 771 > 553, we apply the division lemma to 771 and 553, to get
771 = 553 x 1 + 218
Step 2: Since the reminder 553 ≠ 0, we apply division lemma to 218 and 553, to get
553 = 218 x 2 + 117
Step 3: We consider the new divisor 218 and the new remainder 117, and apply the division lemma to get
218 = 117 x 1 + 101
We consider the new divisor 117 and the new remainder 101,and apply the division lemma to get
117 = 101 x 1 + 16
We consider the new divisor 101 and the new remainder 16,and apply the division lemma to get
101 = 16 x 6 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 771 and 553 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(101,16) = HCF(117,101) = HCF(218,117) = HCF(553,218) = HCF(771,553) .
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Frequently Asked Questions on HCF of 771, 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 771, 553?
Answer: HCF of 771, 553 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 771, 553 using Euclid's Algorithm?
Answer: For arbitrary numbers 771, 553 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.