Highest Common Factor of 376, 954, 688 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 376, 954, 688 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 376, 954, 688 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 376, 954, 688 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 376, 954, 688 is 2.
HCF(376, 954, 688) = 2
HCF of 376, 954, 688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 376, 954, 688 is 2.
Highest Common Factor of 376,954,688 is 2
Step 1: Since 954 > 376, we apply the division lemma to 954 and 376, to get
954 = 376 x 2 + 202
Step 2: Since the reminder 376 ≠ 0, we apply division lemma to 202 and 376, to get
376 = 202 x 1 + 174
Step 3: We consider the new divisor 202 and the new remainder 174, and apply the division lemma to get
202 = 174 x 1 + 28
We consider the new divisor 174 and the new remainder 28,and apply the division lemma to get
174 = 28 x 6 + 6
We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get
28 = 6 x 4 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma 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 376 and 954 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(174,28) = HCF(202,174) = HCF(376,202) = HCF(954,376) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 688 > 2, we apply the division lemma to 688 and 2, to get
688 = 2 x 344 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 688 is 2
Notice that 2 = HCF(688,2) .
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Frequently Asked Questions on HCF of 376, 954, 688 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 376, 954, 688?
Answer: HCF of 376, 954, 688 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 376, 954, 688 using Euclid's Algorithm?
Answer: For arbitrary numbers 376, 954, 688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
