Highest Common Factor of 948, 548, 973 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 948, 548, 973 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 948, 548, 973 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 948, 548, 973 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 948, 548, 973 is 1.
HCF(948, 548, 973) = 1
HCF of 948, 548, 973 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 948, 548, 973 is 1.
Highest Common Factor of 948,548,973 is 1
Step 1: Since 948 > 548, we apply the division lemma to 948 and 548, to get
948 = 548 x 1 + 400
Step 2: Since the reminder 548 ≠ 0, we apply division lemma to 400 and 548, to get
548 = 400 x 1 + 148
Step 3: We consider the new divisor 400 and the new remainder 148, and apply the division lemma to get
400 = 148 x 2 + 104
We consider the new divisor 148 and the new remainder 104,and apply the division lemma to get
148 = 104 x 1 + 44
We consider the new divisor 104 and the new remainder 44,and apply the division lemma to get
104 = 44 x 2 + 16
We consider the new divisor 44 and the new remainder 16,and apply the division lemma to get
44 = 16 x 2 + 12
We consider the new divisor 16 and the new remainder 12,and apply the division lemma to get
16 = 12 x 1 + 4
We consider the new divisor 12 and the new remainder 4,and apply the division lemma to get
12 = 4 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 948 and 548 is 4
Notice that 4 = HCF(12,4) = HCF(16,12) = HCF(44,16) = HCF(104,44) = HCF(148,104) = HCF(400,148) = HCF(548,400) = HCF(948,548) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 973 > 4, we apply the division lemma to 973 and 4, to get
973 = 4 x 243 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 973 is 1
Notice that 1 = HCF(4,1) = HCF(973,4) .
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Frequently Asked Questions on HCF of 948, 548, 973 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 948, 548, 973?
Answer: HCF of 948, 548, 973 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 948, 548, 973 using Euclid's Algorithm?
Answer: For arbitrary numbers 948, 548, 973 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.