Highest Common Factor of 302, 856, 860, 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 302, 856, 860, 752 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 302, 856, 860, 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 302, 856, 860, 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 302, 856, 860, 752 is 2.
HCF(302, 856, 860, 752) = 2
HCF of 302, 856, 860, 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 302, 856, 860, 752 is 2.
Highest Common Factor of 302,856,860,752 is 2
Step 1: Since 856 > 302, we apply the division lemma to 856 and 302, to get
856 = 302 x 2 + 252
Step 2: Since the reminder 302 ≠ 0, we apply division lemma to 252 and 302, to get
302 = 252 x 1 + 50
Step 3: We consider the new divisor 252 and the new remainder 50, and apply the division lemma to get
252 = 50 x 5 + 2
We consider the new divisor 50 and the new remainder 2, and apply the division lemma to get
50 = 2 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 302 and 856 is 2
Notice that 2 = HCF(50,2) = HCF(252,50) = HCF(302,252) = HCF(856,302) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 860 > 2, we apply the division lemma to 860 and 2, to get
860 = 2 x 430 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 860 is 2
Notice that 2 = HCF(860,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 752 > 2, we apply the division lemma to 752 and 2, to get
752 = 2 x 376 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 752 is 2
Notice that 2 = HCF(752,2) .
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Frequently Asked Questions on HCF of 302, 856, 860, 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 302, 856, 860, 752?
Answer: HCF of 302, 856, 860, 752 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 302, 856, 860, 752 using Euclid's Algorithm?
Answer: For arbitrary numbers 302, 856, 860, 752 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.