Highest Common Factor of 973, 774, 963, 55 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 973, 774, 963, 55 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 973, 774, 963, 55 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 973, 774, 963, 55 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 973, 774, 963, 55 is 1.
HCF(973, 774, 963, 55) = 1
HCF of 973, 774, 963, 55 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 973, 774, 963, 55 is 1.
Highest Common Factor of 973,774,963,55 is 1
Step 1: Since 973 > 774, we apply the division lemma to 973 and 774, to get
973 = 774 x 1 + 199
Step 2: Since the reminder 774 ≠ 0, we apply division lemma to 199 and 774, to get
774 = 199 x 3 + 177
Step 3: We consider the new divisor 199 and the new remainder 177, and apply the division lemma to get
199 = 177 x 1 + 22
We consider the new divisor 177 and the new remainder 22,and apply the division lemma to get
177 = 22 x 8 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 973 and 774 is 1
Notice that 1 = HCF(22,1) = HCF(177,22) = HCF(199,177) = HCF(774,199) = HCF(973,774) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 963 > 1, we apply the division lemma to 963 and 1, to get
963 = 1 x 963 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 963 is 1
Notice that 1 = HCF(963,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 55 > 1, we apply the division lemma to 55 and 1, to get
55 = 1 x 55 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55 is 1
Notice that 1 = HCF(55,1) .
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Frequently Asked Questions on HCF of 973, 774, 963, 55 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 973, 774, 963, 55?
Answer: HCF of 973, 774, 963, 55 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 973, 774, 963, 55 using Euclid's Algorithm?
Answer: For arbitrary numbers 973, 774, 963, 55 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.