Highest Common Factor of 7858, 9938, 70134 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 7858, 9938, 70134 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7858, 9938, 70134 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 7858, 9938, 70134 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 7858, 9938, 70134 is 2.
HCF(7858, 9938, 70134) = 2
HCF of 7858, 9938, 70134 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7858, 9938, 70134 is 2.
Highest Common Factor of 7858,9938,70134 is 2
Step 1: Since 9938 > 7858, we apply the division lemma to 9938 and 7858, to get
9938 = 7858 x 1 + 2080
Step 2: Since the reminder 7858 ≠ 0, we apply division lemma to 2080 and 7858, to get
7858 = 2080 x 3 + 1618
Step 3: We consider the new divisor 2080 and the new remainder 1618, and apply the division lemma to get
2080 = 1618 x 1 + 462
We consider the new divisor 1618 and the new remainder 462,and apply the division lemma to get
1618 = 462 x 3 + 232
We consider the new divisor 462 and the new remainder 232,and apply the division lemma to get
462 = 232 x 1 + 230
We consider the new divisor 232 and the new remainder 230,and apply the division lemma to get
232 = 230 x 1 + 2
We consider the new divisor 230 and the new remainder 2,and apply the division lemma to get
230 = 2 x 115 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7858 and 9938 is 2
Notice that 2 = HCF(230,2) = HCF(232,230) = HCF(462,232) = HCF(1618,462) = HCF(2080,1618) = HCF(7858,2080) = HCF(9938,7858) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 70134 > 2, we apply the division lemma to 70134 and 2, to get
70134 = 2 x 35067 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 70134 is 2
Notice that 2 = HCF(70134,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 7858, 9938, 70134 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 7858, 9938, 70134?
Answer: HCF of 7858, 9938, 70134 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7858, 9938, 70134 using Euclid's Algorithm?
Answer: For arbitrary numbers 7858, 9938, 70134 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.