Highest Common Factor of 976, 360, 576, 373 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 976, 360, 576, 373 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 976, 360, 576, 373 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 976, 360, 576, 373 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 976, 360, 576, 373 is 1.
HCF(976, 360, 576, 373) = 1
HCF of 976, 360, 576, 373 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 976, 360, 576, 373 is 1.
Highest Common Factor of 976,360,576,373 is 1
Step 1: Since 976 > 360, we apply the division lemma to 976 and 360, to get
976 = 360 x 2 + 256
Step 2: Since the reminder 360 ≠ 0, we apply division lemma to 256 and 360, to get
360 = 256 x 1 + 104
Step 3: We consider the new divisor 256 and the new remainder 104, and apply the division lemma to get
256 = 104 x 2 + 48
We consider the new divisor 104 and the new remainder 48,and apply the division lemma to get
104 = 48 x 2 + 8
We consider the new divisor 48 and the new remainder 8,and apply the division lemma to get
48 = 8 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 976 and 360 is 8
Notice that 8 = HCF(48,8) = HCF(104,48) = HCF(256,104) = HCF(360,256) = HCF(976,360) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 576 > 8, we apply the division lemma to 576 and 8, to get
576 = 8 x 72 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 8, the HCF of 8 and 576 is 8
Notice that 8 = HCF(576,8) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 373 > 8, we apply the division lemma to 373 and 8, to get
373 = 8 x 46 + 5
Step 2: Since the reminder 8 ≠ 0, we apply division lemma to 5 and 8, to get
8 = 5 x 1 + 3
Step 3: We consider the new divisor 5 and the new remainder 3, and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8 and 373 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(373,8) .
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Frequently Asked Questions on HCF of 976, 360, 576, 373 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 976, 360, 576, 373?
Answer: HCF of 976, 360, 576, 373 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 976, 360, 576, 373 using Euclid's Algorithm?
Answer: For arbitrary numbers 976, 360, 576, 373 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.