Highest Common Factor of 1374, 5022 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 1374, 5022 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 1374, 5022 is 6 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 1374, 5022 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 1374, 5022 is 6.
HCF(1374, 5022) = 6
HCF of 1374, 5022 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1374, 5022 is 6.
Highest Common Factor of 1374,5022 is 6
Step 1: Since 5022 > 1374, we apply the division lemma to 5022 and 1374, to get
5022 = 1374 x 3 + 900
Step 2: Since the reminder 1374 ≠ 0, we apply division lemma to 900 and 1374, to get
1374 = 900 x 1 + 474
Step 3: We consider the new divisor 900 and the new remainder 474, and apply the division lemma to get
900 = 474 x 1 + 426
We consider the new divisor 474 and the new remainder 426,and apply the division lemma to get
474 = 426 x 1 + 48
We consider the new divisor 426 and the new remainder 48,and apply the division lemma to get
426 = 48 x 8 + 42
We consider the new divisor 48 and the new remainder 42,and apply the division lemma to get
48 = 42 x 1 + 6
We consider the new divisor 42 and the new remainder 6,and apply the division lemma to get
42 = 6 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 1374 and 5022 is 6
Notice that 6 = HCF(42,6) = HCF(48,42) = HCF(426,48) = HCF(474,426) = HCF(900,474) = HCF(1374,900) = HCF(5022,1374) .
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Frequently Asked Questions on HCF of 1374, 5022 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 1374, 5022?
Answer: HCF of 1374, 5022 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1374, 5022 using Euclid's Algorithm?
Answer: For arbitrary numbers 1374, 5022 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
