Highest Common Factor of 974, 1322, 4835 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 974, 1322, 4835 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 974, 1322, 4835 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 974, 1322, 4835 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 974, 1322, 4835 is 1.
HCF(974, 1322, 4835) = 1
HCF of 974, 1322, 4835 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 974, 1322, 4835 is 1.
Highest Common Factor of 974,1322,4835 is 1
Step 1: Since 1322 > 974, we apply the division lemma to 1322 and 974, to get
1322 = 974 x 1 + 348
Step 2: Since the reminder 974 ≠ 0, we apply division lemma to 348 and 974, to get
974 = 348 x 2 + 278
Step 3: We consider the new divisor 348 and the new remainder 278, and apply the division lemma to get
348 = 278 x 1 + 70
We consider the new divisor 278 and the new remainder 70,and apply the division lemma to get
278 = 70 x 3 + 68
We consider the new divisor 70 and the new remainder 68,and apply the division lemma to get
70 = 68 x 1 + 2
We consider the new divisor 68 and the new remainder 2,and apply the division lemma to get
68 = 2 x 34 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 974 and 1322 is 2
Notice that 2 = HCF(68,2) = HCF(70,68) = HCF(278,70) = HCF(348,278) = HCF(974,348) = HCF(1322,974) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4835 > 2, we apply the division lemma to 4835 and 2, to get
4835 = 2 x 2417 + 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 4835 is 1
Notice that 1 = HCF(2,1) = HCF(4835,2) .
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Frequently Asked Questions on HCF of 974, 1322, 4835 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 974, 1322, 4835?
Answer: HCF of 974, 1322, 4835 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 974, 1322, 4835 using Euclid's Algorithm?
Answer: For arbitrary numbers 974, 1322, 4835 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.