Highest Common Factor of 7554, 8075, 54910 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 7554, 8075, 54910 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7554, 8075, 54910 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 7554, 8075, 54910 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 7554, 8075, 54910 is 1.
HCF(7554, 8075, 54910) = 1
HCF of 7554, 8075, 54910 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7554, 8075, 54910 is 1.
Highest Common Factor of 7554,8075,54910 is 1
Step 1: Since 8075 > 7554, we apply the division lemma to 8075 and 7554, to get
8075 = 7554 x 1 + 521
Step 2: Since the reminder 7554 ≠ 0, we apply division lemma to 521 and 7554, to get
7554 = 521 x 14 + 260
Step 3: We consider the new divisor 521 and the new remainder 260, and apply the division lemma to get
521 = 260 x 2 + 1
We consider the new divisor 260 and the new remainder 1, and apply the division lemma to get
260 = 1 x 260 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7554 and 8075 is 1
Notice that 1 = HCF(260,1) = HCF(521,260) = HCF(7554,521) = HCF(8075,7554) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54910 > 1, we apply the division lemma to 54910 and 1, to get
54910 = 1 x 54910 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54910 is 1
Notice that 1 = HCF(54910,1) .
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Frequently Asked Questions on HCF of 7554, 8075, 54910 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 7554, 8075, 54910?
Answer: HCF of 7554, 8075, 54910 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7554, 8075, 54910 using Euclid's Algorithm?
Answer: For arbitrary numbers 7554, 8075, 54910 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.