Highest Common Factor of 794, 295, 802 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 794, 295, 802 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 794, 295, 802 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 794, 295, 802 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 794, 295, 802 is 1.
HCF(794, 295, 802) = 1
HCF of 794, 295, 802 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 794, 295, 802 is 1.
Highest Common Factor of 794,295,802 is 1
Step 1: Since 794 > 295, we apply the division lemma to 794 and 295, to get
794 = 295 x 2 + 204
Step 2: Since the reminder 295 ≠ 0, we apply division lemma to 204 and 295, to get
295 = 204 x 1 + 91
Step 3: We consider the new divisor 204 and the new remainder 91, and apply the division lemma to get
204 = 91 x 2 + 22
We consider the new divisor 91 and the new remainder 22,and apply the division lemma to get
91 = 22 x 4 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 794 and 295 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(91,22) = HCF(204,91) = HCF(295,204) = HCF(794,295) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 802 > 1, we apply the division lemma to 802 and 1, to get
802 = 1 x 802 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 802 is 1
Notice that 1 = HCF(802,1) .
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Frequently Asked Questions on HCF of 794, 295, 802 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 794, 295, 802?
Answer: HCF of 794, 295, 802 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 794, 295, 802 using Euclid's Algorithm?
Answer: For arbitrary numbers 794, 295, 802 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.