Highest Common Factor of 392, 1498, 5350 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 392, 1498, 5350 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 392, 1498, 5350 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 392, 1498, 5350 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 392, 1498, 5350 is 2.
HCF(392, 1498, 5350) = 2
HCF of 392, 1498, 5350 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 392, 1498, 5350 is 2.
Highest Common Factor of 392,1498,5350 is 2
Step 1: Since 1498 > 392, we apply the division lemma to 1498 and 392, to get
1498 = 392 x 3 + 322
Step 2: Since the reminder 392 ≠ 0, we apply division lemma to 322 and 392, to get
392 = 322 x 1 + 70
Step 3: We consider the new divisor 322 and the new remainder 70, and apply the division lemma to get
322 = 70 x 4 + 42
We consider the new divisor 70 and the new remainder 42,and apply the division lemma to get
70 = 42 x 1 + 28
We consider the new divisor 42 and the new remainder 28,and apply the division lemma to get
42 = 28 x 1 + 14
We consider the new divisor 28 and the new remainder 14,and apply the division lemma to get
28 = 14 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 14, the HCF of 392 and 1498 is 14
Notice that 14 = HCF(28,14) = HCF(42,28) = HCF(70,42) = HCF(322,70) = HCF(392,322) = HCF(1498,392) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 5350 > 14, we apply the division lemma to 5350 and 14, to get
5350 = 14 x 382 + 2
Step 2: Since the reminder 14 ≠ 0, we apply division lemma to 2 and 14, to get
14 = 2 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 14 and 5350 is 2
Notice that 2 = HCF(14,2) = HCF(5350,14) .
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Frequently Asked Questions on HCF of 392, 1498, 5350 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 392, 1498, 5350?
Answer: HCF of 392, 1498, 5350 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 392, 1498, 5350 using Euclid's Algorithm?
Answer: For arbitrary numbers 392, 1498, 5350 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.