Highest Common Factor of 968, 204, 938 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 968, 204, 938 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 204, 938 is 2 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 968, 204, 938 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 968, 204, 938 is 2.
HCF(968, 204, 938) = 2
HCF of 968, 204, 938 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 204, 938 is 2.
Highest Common Factor of 968,204,938 is 2
Step 1: Since 968 > 204, we apply the division lemma to 968 and 204, to get
968 = 204 x 4 + 152
Step 2: Since the reminder 204 ≠ 0, we apply division lemma to 152 and 204, to get
204 = 152 x 1 + 52
Step 3: We consider the new divisor 152 and the new remainder 52, and apply the division lemma to get
152 = 52 x 2 + 48
We consider the new divisor 52 and the new remainder 48,and apply the division lemma to get
52 = 48 x 1 + 4
We consider the new divisor 48 and the new remainder 4,and apply the division lemma to get
48 = 4 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 968 and 204 is 4
Notice that 4 = HCF(48,4) = HCF(52,48) = HCF(152,52) = HCF(204,152) = HCF(968,204) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 938 > 4, we apply the division lemma to 938 and 4, to get
938 = 4 x 234 + 2
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 2 and 4, to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4 and 938 is 2
Notice that 2 = HCF(4,2) = HCF(938,4) .
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Frequently Asked Questions on HCF of 968, 204, 938 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 968, 204, 938?
Answer: HCF of 968, 204, 938 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 204, 938 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 204, 938 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.