Highest Common Factor of 598, 260, 752 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 598, 260, 752 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 598, 260, 752 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 598, 260, 752 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 598, 260, 752 is 2.
HCF(598, 260, 752) = 2
HCF of 598, 260, 752 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 598, 260, 752 is 2.
Highest Common Factor of 598,260,752 is 2
Step 1: Since 598 > 260, we apply the division lemma to 598 and 260, to get
598 = 260 x 2 + 78
Step 2: Since the reminder 260 ≠ 0, we apply division lemma to 78 and 260, to get
260 = 78 x 3 + 26
Step 3: We consider the new divisor 78 and the new remainder 26, and apply the division lemma to get
78 = 26 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 26, the HCF of 598 and 260 is 26
Notice that 26 = HCF(78,26) = HCF(260,78) = HCF(598,260) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 752 > 26, we apply the division lemma to 752 and 26, to get
752 = 26 x 28 + 24
Step 2: Since the reminder 26 ≠ 0, we apply division lemma to 24 and 26, to get
26 = 24 x 1 + 2
Step 3: We consider the new divisor 24 and the new remainder 2, and apply the division lemma to get
24 = 2 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 26 and 752 is 2
Notice that 2 = HCF(24,2) = HCF(26,24) = HCF(752,26) .
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Frequently Asked Questions on HCF of 598, 260, 752 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 598, 260, 752?
Answer: HCF of 598, 260, 752 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 598, 260, 752 using Euclid's Algorithm?
Answer: For arbitrary numbers 598, 260, 752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.