Highest Common Factor of 502, 790, 156, 292 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 502, 790, 156, 292 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 502, 790, 156, 292 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 502, 790, 156, 292 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 502, 790, 156, 292 is 2.
HCF(502, 790, 156, 292) = 2
HCF of 502, 790, 156, 292 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 502, 790, 156, 292 is 2.
Highest Common Factor of 502,790,156,292 is 2
Step 1: Since 790 > 502, we apply the division lemma to 790 and 502, to get
790 = 502 x 1 + 288
Step 2: Since the reminder 502 ≠ 0, we apply division lemma to 288 and 502, to get
502 = 288 x 1 + 214
Step 3: We consider the new divisor 288 and the new remainder 214, and apply the division lemma to get
288 = 214 x 1 + 74
We consider the new divisor 214 and the new remainder 74,and apply the division lemma to get
214 = 74 x 2 + 66
We consider the new divisor 74 and the new remainder 66,and apply the division lemma to get
74 = 66 x 1 + 8
We consider the new divisor 66 and the new remainder 8,and apply the division lemma to get
66 = 8 x 8 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 502 and 790 is 2
Notice that 2 = HCF(8,2) = HCF(66,8) = HCF(74,66) = HCF(214,74) = HCF(288,214) = HCF(502,288) = HCF(790,502) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 156 > 2, we apply the division lemma to 156 and 2, to get
156 = 2 x 78 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 156 is 2
Notice that 2 = HCF(156,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 292 > 2, we apply the division lemma to 292 and 2, to get
292 = 2 x 146 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 292 is 2
Notice that 2 = HCF(292,2) .
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Frequently Asked Questions on HCF of 502, 790, 156, 292 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 502, 790, 156, 292?
Answer: HCF of 502, 790, 156, 292 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 502, 790, 156, 292 using Euclid's Algorithm?
Answer: For arbitrary numbers 502, 790, 156, 292 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.