Highest Common Factor of 7919, 8930 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 7919, 8930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7919, 8930 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 7919, 8930 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 7919, 8930 is 1.
HCF(7919, 8930) = 1
HCF of 7919, 8930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7919, 8930 is 1.
Highest Common Factor of 7919,8930 is 1
Step 1: Since 8930 > 7919, we apply the division lemma to 8930 and 7919, to get
8930 = 7919 x 1 + 1011
Step 2: Since the reminder 7919 ≠ 0, we apply division lemma to 1011 and 7919, to get
7919 = 1011 x 7 + 842
Step 3: We consider the new divisor 1011 and the new remainder 842, and apply the division lemma to get
1011 = 842 x 1 + 169
We consider the new divisor 842 and the new remainder 169,and apply the division lemma to get
842 = 169 x 4 + 166
We consider the new divisor 169 and the new remainder 166,and apply the division lemma to get
169 = 166 x 1 + 3
We consider the new divisor 166 and the new remainder 3,and apply the division lemma to get
166 = 3 x 55 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7919 and 8930 is 1
Notice that 1 = HCF(3,1) = HCF(166,3) = HCF(169,166) = HCF(842,169) = HCF(1011,842) = HCF(7919,1011) = HCF(8930,7919) .
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Frequently Asked Questions on HCF of 7919, 8930 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 7919, 8930?
Answer: HCF of 7919, 8930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7919, 8930 using Euclid's Algorithm?
Answer: For arbitrary numbers 7919, 8930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.