Highest Common Factor of 557, 973, 304, 97 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 557, 973, 304, 97 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 557, 973, 304, 97 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 557, 973, 304, 97 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 557, 973, 304, 97 is 1.
HCF(557, 973, 304, 97) = 1
HCF of 557, 973, 304, 97 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 557, 973, 304, 97 is 1.
Highest Common Factor of 557,973,304,97 is 1
Step 1: Since 973 > 557, we apply the division lemma to 973 and 557, to get
973 = 557 x 1 + 416
Step 2: Since the reminder 557 ≠ 0, we apply division lemma to 416 and 557, to get
557 = 416 x 1 + 141
Step 3: We consider the new divisor 416 and the new remainder 141, and apply the division lemma to get
416 = 141 x 2 + 134
We consider the new divisor 141 and the new remainder 134,and apply the division lemma to get
141 = 134 x 1 + 7
We consider the new divisor 134 and the new remainder 7,and apply the division lemma to get
134 = 7 x 19 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 557 and 973 is 1
Notice that 1 = HCF(7,1) = HCF(134,7) = HCF(141,134) = HCF(416,141) = HCF(557,416) = HCF(973,557) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 304 > 1, we apply the division lemma to 304 and 1, to get
304 = 1 x 304 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 304 is 1
Notice that 1 = HCF(304,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 97 > 1, we apply the division lemma to 97 and 1, to get
97 = 1 x 97 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 97 is 1
Notice that 1 = HCF(97,1) .
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Frequently Asked Questions on HCF of 557, 973, 304, 97 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 557, 973, 304, 97?
Answer: HCF of 557, 973, 304, 97 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 557, 973, 304, 97 using Euclid's Algorithm?
Answer: For arbitrary numbers 557, 973, 304, 97 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.