Highest Common Factor of 7294, 3284, 60822 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 7294, 3284, 60822 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7294, 3284, 60822 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 7294, 3284, 60822 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 7294, 3284, 60822 is 2.
HCF(7294, 3284, 60822) = 2
HCF of 7294, 3284, 60822 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7294, 3284, 60822 is 2.
Highest Common Factor of 7294,3284,60822 is 2
Step 1: Since 7294 > 3284, we apply the division lemma to 7294 and 3284, to get
7294 = 3284 x 2 + 726
Step 2: Since the reminder 3284 ≠ 0, we apply division lemma to 726 and 3284, to get
3284 = 726 x 4 + 380
Step 3: We consider the new divisor 726 and the new remainder 380, and apply the division lemma to get
726 = 380 x 1 + 346
We consider the new divisor 380 and the new remainder 346,and apply the division lemma to get
380 = 346 x 1 + 34
We consider the new divisor 346 and the new remainder 34,and apply the division lemma to get
346 = 34 x 10 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 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 7294 and 3284 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(346,34) = HCF(380,346) = HCF(726,380) = HCF(3284,726) = HCF(7294,3284) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 60822 > 2, we apply the division lemma to 60822 and 2, to get
60822 = 2 x 30411 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 60822 is 2
Notice that 2 = HCF(60822,2) .
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Frequently Asked Questions on HCF of 7294, 3284, 60822 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 7294, 3284, 60822?
Answer: HCF of 7294, 3284, 60822 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7294, 3284, 60822 using Euclid's Algorithm?
Answer: For arbitrary numbers 7294, 3284, 60822 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.