Highest Common Factor of 7119, 1890 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 7119, 1890 i.e. 63 the largest integer that leaves a remainder zero for all numbers.
HCF of 7119, 1890 is 63 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 7119, 1890 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 7119, 1890 is 63.
HCF(7119, 1890) = 63
HCF of 7119, 1890 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7119, 1890 is 63.
Highest Common Factor of 7119,1890 is 63
Step 1: Since 7119 > 1890, we apply the division lemma to 7119 and 1890, to get
7119 = 1890 x 3 + 1449
Step 2: Since the reminder 1890 ≠ 0, we apply division lemma to 1449 and 1890, to get
1890 = 1449 x 1 + 441
Step 3: We consider the new divisor 1449 and the new remainder 441, and apply the division lemma to get
1449 = 441 x 3 + 126
We consider the new divisor 441 and the new remainder 126,and apply the division lemma to get
441 = 126 x 3 + 63
We consider the new divisor 126 and the new remainder 63,and apply the division lemma to get
126 = 63 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 63, the HCF of 7119 and 1890 is 63
Notice that 63 = HCF(126,63) = HCF(441,126) = HCF(1449,441) = HCF(1890,1449) = HCF(7119,1890) .
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Frequently Asked Questions on HCF of 7119, 1890 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 7119, 1890?
Answer: HCF of 7119, 1890 is 63 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7119, 1890 using Euclid's Algorithm?
Answer: For arbitrary numbers 7119, 1890 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.