Highest Common Factor of 801, 964, 947, 920 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 801, 964, 947, 920 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 801, 964, 947, 920 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 801, 964, 947, 920 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 801, 964, 947, 920 is 1.
HCF(801, 964, 947, 920) = 1
HCF of 801, 964, 947, 920 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 801, 964, 947, 920 is 1.
Highest Common Factor of 801,964,947,920 is 1
Step 1: Since 964 > 801, we apply the division lemma to 964 and 801, to get
964 = 801 x 1 + 163
Step 2: Since the reminder 801 ≠ 0, we apply division lemma to 163 and 801, to get
801 = 163 x 4 + 149
Step 3: We consider the new divisor 163 and the new remainder 149, and apply the division lemma to get
163 = 149 x 1 + 14
We consider the new divisor 149 and the new remainder 14,and apply the division lemma to get
149 = 14 x 10 + 9
We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get
14 = 9 x 1 + 5
We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get
9 = 5 x 1 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma 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 801 and 964 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(149,14) = HCF(163,149) = HCF(801,163) = HCF(964,801) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 947 > 1, we apply the division lemma to 947 and 1, to get
947 = 1 x 947 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 947 is 1
Notice that 1 = HCF(947,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 920 > 1, we apply the division lemma to 920 and 1, to get
920 = 1 x 920 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 920 is 1
Notice that 1 = HCF(920,1) .
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Frequently Asked Questions on HCF of 801, 964, 947, 920 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 801, 964, 947, 920?
Answer: HCF of 801, 964, 947, 920 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 801, 964, 947, 920 using Euclid's Algorithm?
Answer: For arbitrary numbers 801, 964, 947, 920 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.