Highest Common Factor of 804, 944, 210, 40 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 804, 944, 210, 40 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 804, 944, 210, 40 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 804, 944, 210, 40 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 804, 944, 210, 40 is 2.
HCF(804, 944, 210, 40) = 2
HCF of 804, 944, 210, 40 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 804, 944, 210, 40 is 2.
Highest Common Factor of 804,944,210,40 is 2
Step 1: Since 944 > 804, we apply the division lemma to 944 and 804, to get
944 = 804 x 1 + 140
Step 2: Since the reminder 804 ≠ 0, we apply division lemma to 140 and 804, to get
804 = 140 x 5 + 104
Step 3: We consider the new divisor 140 and the new remainder 104, and apply the division lemma to get
140 = 104 x 1 + 36
We consider the new divisor 104 and the new remainder 36,and apply the division lemma to get
104 = 36 x 2 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 804 and 944 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(104,36) = HCF(140,104) = HCF(804,140) = HCF(944,804) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 210 > 4, we apply the division lemma to 210 and 4, to get
210 = 4 x 52 + 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 210 is 2
Notice that 2 = HCF(4,2) = HCF(210,4) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 40 > 2, we apply the division lemma to 40 and 2, to get
40 = 2 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 40 is 2
Notice that 2 = HCF(40,2) .
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Frequently Asked Questions on HCF of 804, 944, 210, 40 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 804, 944, 210, 40?
Answer: HCF of 804, 944, 210, 40 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 804, 944, 210, 40 using Euclid's Algorithm?
Answer: For arbitrary numbers 804, 944, 210, 40 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.