Highest Common Factor of 790, 496, 374 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, 496, 374 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 790, 496, 374 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 790, 496, 374 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, 496, 374 is 2.
HCF(790, 496, 374) = 2
HCF of 790, 496, 374 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, 496, 374 is 2.
Highest Common Factor of 790,496,374 is 2
Step 1: Since 790 > 496, we apply the division lemma to 790 and 496, to get
790 = 496 x 1 + 294
Step 2: Since the reminder 496 ≠ 0, we apply division lemma to 294 and 496, to get
496 = 294 x 1 + 202
Step 3: We consider the new divisor 294 and the new remainder 202, and apply the division lemma to get
294 = 202 x 1 + 92
We consider the new divisor 202 and the new remainder 92,and apply the division lemma to get
202 = 92 x 2 + 18
We consider the new divisor 92 and the new remainder 18,and apply the division lemma to get
92 = 18 x 5 + 2
We consider the new divisor 18 and the new remainder 2,and apply the division lemma to get
18 = 2 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 790 and 496 is 2
Notice that 2 = HCF(18,2) = HCF(92,18) = HCF(202,92) = HCF(294,202) = HCF(496,294) = HCF(790,496) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 374 > 2, we apply the division lemma to 374 and 2, to get
374 = 2 x 187 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 374 is 2
Notice that 2 = HCF(374,2) .
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Frequently Asked Questions on HCF of 790, 496, 374 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, 496, 374?
Answer: HCF of 790, 496, 374 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 790, 496, 374 using Euclid's Algorithm?
Answer: For arbitrary numbers 790, 496, 374 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.