Highest Common Factor of 9298, 7794, 52726 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 9298, 7794, 52726 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9298, 7794, 52726 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 9298, 7794, 52726 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 9298, 7794, 52726 is 2.
HCF(9298, 7794, 52726) = 2
HCF of 9298, 7794, 52726 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9298, 7794, 52726 is 2.
Highest Common Factor of 9298,7794,52726 is 2
Step 1: Since 9298 > 7794, we apply the division lemma to 9298 and 7794, to get
9298 = 7794 x 1 + 1504
Step 2: Since the reminder 7794 ≠ 0, we apply division lemma to 1504 and 7794, to get
7794 = 1504 x 5 + 274
Step 3: We consider the new divisor 1504 and the new remainder 274, and apply the division lemma to get
1504 = 274 x 5 + 134
We consider the new divisor 274 and the new remainder 134,and apply the division lemma to get
274 = 134 x 2 + 6
We consider the new divisor 134 and the new remainder 6,and apply the division lemma to get
134 = 6 x 22 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9298 and 7794 is 2
Notice that 2 = HCF(6,2) = HCF(134,6) = HCF(274,134) = HCF(1504,274) = HCF(7794,1504) = HCF(9298,7794) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 52726 > 2, we apply the division lemma to 52726 and 2, to get
52726 = 2 x 26363 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 52726 is 2
Notice that 2 = HCF(52726,2) .
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Frequently Asked Questions on HCF of 9298, 7794, 52726 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 9298, 7794, 52726?
Answer: HCF of 9298, 7794, 52726 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9298, 7794, 52726 using Euclid's Algorithm?
Answer: For arbitrary numbers 9298, 7794, 52726 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.