Highest Common Factor of 790, 508, 542, 871 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 790, 508, 542, 871 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 508, 542, 871 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 790, 508, 542, 871 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 790, 508, 542, 871 is 1.
HCF(790, 508, 542, 871) = 1
HCF of 790, 508, 542, 871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 790, 508, 542, 871 is 1.
Highest Common Factor of 790,508,542,871 is 1
Step 1: Since 790 > 508, we apply the division lemma to 790 and 508, to get
790 = 508 x 1 + 282
Step 2: Since the reminder 508 ≠ 0, we apply division lemma to 282 and 508, to get
508 = 282 x 1 + 226
Step 3: We consider the new divisor 282 and the new remainder 226, and apply the division lemma to get
282 = 226 x 1 + 56
We consider the new divisor 226 and the new remainder 56,and apply the division lemma to get
226 = 56 x 4 + 2
We consider the new divisor 56 and the new remainder 2,and apply the division lemma to get
56 = 2 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 790 and 508 is 2
Notice that 2 = HCF(56,2) = HCF(226,56) = HCF(282,226) = HCF(508,282) = HCF(790,508) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 542 > 2, we apply the division lemma to 542 and 2, to get
542 = 2 x 271 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 542 is 2
Notice that 2 = HCF(542,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 871 > 2, we apply the division lemma to 871 and 2, to get
871 = 2 x 435 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 871 is 1
Notice that 1 = HCF(2,1) = HCF(871,2) .
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Frequently Asked Questions on HCF of 790, 508, 542, 871 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 790, 508, 542, 871?
Answer: HCF of 790, 508, 542, 871 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 508, 542, 871 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 508, 542, 871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.